OK!
If anyone cares, after a bit more digging around, I got it to work.
That being said, I now present you: The milkable, shearable dog!
[CREATURE:DOG]
[DESCRIPTION:A medium-sized highly social mammalian carnivore. It has a keen sense of smell. It can be trained to obey commands.]
[NAME:dog:dogs:dog]
[CASTE_NAME:dog:dogs:dog]
[CREATURE_TILE:'d'][COLOR:6:0:0]
[PETVALUE:30][NATURAL]
[LARGE_ROAMING]
[COMMON_DOMESTIC][TRAINABLE][PET]
[BONECARN]
[PREFSTRING:loyalty]
[BODY:QUADRUPED:TAIL:2EYES:2EARS:NOSE:2LUNGS:HEART:GUTS:ORGANS:THROAT:NECK:SPINE:BRAIN:SKULL:4TOES_FQ:4TOES_RQ:MOUTH:GENERIC_TEETH_WITH_LARGE_EYE_TEETH:RIBCAGE]
[BODYGLOSS:PAW]
[BODY_DETAIL_PLAN:STANDARD_MATERIALS]
[SELECT_MATERIAL:HAIR]
[STATE_NAME:ALL_SOLID:wool]
[STATE_ADJ:ALL_SOLID:wool]
[YARN]
[BODY_DETAIL_PLAN:STANDARD_TISSUES]
[SELECT_TISSUE:HAIR]
[TISSUE_NAME:wool:NP]
[BODY_DETAIL_PLAN:VERTEBRATE_TISSUE_LAYERS:SKIN:FAT:MUSCLE:BONE:CARTILAGE]
[BODY_DETAIL_PLAN:BODY_HAIR_TISSUE_LAYERS:HAIR]
[USE_MATERIAL_TEMPLATE:NAIL:NAIL_TEMPLATE]
[USE_TISSUE_TEMPLATE:NAIL:NAIL_TEMPLATE]
[TISSUE_LAYER:BY_CATEGORY:TOE:NAIL:FRONT]
[SELECT_TISSUE_LAYER:HEART:BY_CATEGORY:HEART]
[PLUS_TISSUE_LAYER:SKIN:BY_CATEGORY:THROAT]
[TL_MAJOR_ARTERIES]
[SELECT_TISSUE_LAYER:HAIR:BY_CATEGORY:ALL]
[TL_RELATIVE_THICKNESS:500]
[BODY_DETAIL_PLAN:STANDARD_HEAD_POSITIONS]
[BODY_DETAIL_PLAN:HUMANOID_RIBCAGE_POSITIONS]
[USE_MATERIAL_TEMPLATE:SINEW:SINEW_TEMPLATE]
[TENDONS:LOCAL_CREATURE_MAT:SINEW:200]
[LIGAMENTS:LOCAL_CREATURE_MAT:SINEW:200]
[HAS_NERVES]
[USE_MATERIAL_TEMPLATE:BLOOD:BLOOD_TEMPLATE]
[BLOOD:LOCAL_CREATURE_MAT:BLOOD:LIQUID]
[CREATURE_CLASS:GENERAL_POISON]
[GETS_WOUND_INFECTIONS]
[GETS_INFECTIONS_FROM_ROT]
[USE_MATERIAL_TEMPLATE:PUS:PUS_TEMPLATE]
[PUS:LOCAL_CREATURE_MAT:PUS:LIQUID]
[BODY_SIZE:0:0:1000]
[BODY_SIZE:1:0:12500]
[BODY_SIZE:2:0:30000]
[BODY_APPEARANCE_MODIFIER:LENGTH:90:95:98:100:102:105:110]
[BODY_APPEARANCE_MODIFIER:HEIGHT:90:95:98:100:102:105:110]
[BODY_APPEARANCE_MODIFIER:BROADNESS:90:95:98:100:102:105:110]
[MAXAGE:10:20]
[ATTACK:BITE:CHILD_BODYPART_GROUP:BY_CATEGORY:HEAD:BY_CATEGORY:TOOTH]
[ATTACK_SKILL:BITE]
[ATTACK_VERB:bite:bites]
[ATTACK_CONTACT_PERC:100]
[ATTACK_PENETRATION_PERC:100]
[ATTACK_FLAG_EDGE]
[ATTACK_PRIORITY:MAIN]
[ATTACK_FLAG_CANLATCH]
[ATTACK:SCRATCH:CHILD_TISSUE_LAYER_GROUP:BY_TYPE:STANCE:BY_CATEGORY:ALL:NAIL]
[ATTACK_SKILL:STANCE_STRIKE]
[ATTACK_VERB:scratch:scratches]
[ATTACK_CONTACT_PERC:100]
[ATTACK_PENETRATION_PERC:100]
[ATTACK_FLAG_EDGE]
[ATTACK_PRIORITY:SECOND]
[CHILD:1]
[GENERAL_CHILD_NAME:puppy:puppies]
[DIURNAL]
[HOMEOTHERM:10070]
[SWIMS_INNATE][SWIM_SPEED:2500]
[MUNDANE]
[CASTE:FEMALE]
[FEMALE]
[USE_MATERIAL_TEMPLATE:MILK:MILK_TEMPLATE]
[STATE_NAME:ALL_SOLID:frozen dog's milk]
[STATE_ADJ:ALL_SOLID:frozen dog's milk]
[STATE_NAME:LIQUID:dog's milk]
[STATE_ADJ:LIQUID:dog's milk]
[STATE_NAME:GAS:boiling dog's milk]
[STATE_ADJ:GAS:boiling dog's milk]
[PREFIX:NONE]
[MILKABLE:LOCAL_CREATURE_MAT:MILK:20000]
[USE_MATERIAL_TEMPLATE:CHEESE:CREATURE_CHEESE_TEMPLATE]
[STATE_NAME:SOLID:dog cheese]
[STATE_ADJ:SOLID:dog cheese]
[STATE_NAME:SOLID_POWDER:dog cheese powder]
[STATE_ADJ:SOLID_POWDER:dog cheese powder]
[STATE_NAME:LIQUID:melted dog cheese]
[STATE_ADJ:LIQUID:melted dog cheese]
[STATE_NAME:GAS:boiling dog cheese]
[STATE_ADJ:GAS:boiling dog cheese]
[PREFIX:NONE]
[CASTE:MALE]
[MALE]
[SELECT_CASTE:ALL]
[SET_TL_GROUP:BY_CATEGORY:BODY_UPPER:HAIR]
[PLUS_TL_GROUP:BY_CATEGORY:BODY_LOWER:HAIR]
[PLUS_TL_GROUP:BY_CATEGORY:LEG_FRONT:HAIR]
[PLUS_TL_GROUP:BY_CATEGORY:LEG_REAR:HAIR]
[TL_COLOR_MODIFIER:BLACK:1:BROWN:1:WHITE:1:GRAY:1:LIGHT_BROWN:1:DARK_BROWN:1:TAN:1:AUBURN:1:CHESTNUT:1:SLATE_GRAY:1:CREAM:1:CINNAMON:1:BUFF:1:BEIGE:1:CHOCOLATE:1:CHARCOAL:1:ASH_GRAY:1:RUSSET:1:IVORY:1:FLAX:1:PUMPKIN:1:GOLD:1:GOLDEN_YELLOW:1:GOLDENROD:1:COPPER:1:SAFFRON:1:AMBER:1:MAHOGANY:1:OCHRE:1:PALE_BROWN:1:RAW_UMBER:1:BURNT_SIENNA:1:BURNT_UMBER:1:SEPIA:1:DARK_TAN:1:PALE_CHESTNUT:1:DARK_CHESTNUT:1:TAUPE_PALE:1:TAUPE_DARK:1:TAUPE_SANDY:1:TAUPE_GRAY:1:TAUPE_MEDIUM:1:ECRU:1]
[TLCM_NOUN:hair:SINGULAR]
[SET_TL_GROUP:BY_CATEGORY:EAR:HAIR]
[TL_COLOR_MODIFIER:BLACK:1:BROWN:1:WHITE:1:GRAY:1:LIGHT_BROWN:1:DARK_BROWN:1:TAN:1:AUBURN:1:CHESTNUT:1:SLATE_GRAY:1:CREAM:1:CINNAMON:1:BUFF:1:BEIGE:1:CHOCOLATE:1:CHARCOAL:1:ASH_GRAY:1:RUSSET:1:IVORY:1:FLAX:1:PUMPKIN:1:GOLD:1:GOLDEN_YELLOW:1:GOLDENROD:1:COPPER:1:SAFFRON:1:AMBER:1:MAHOGANY:1:OCHRE:1:PALE_BROWN:1:RAW_UMBER:1:BURNT_SIENNA:1:BURNT_UMBER:1:SEPIA:1:DARK_TAN:1:PALE_CHESTNUT:1:DARK_CHESTNUT:1:TAUPE_PALE:1:TAUPE_DARK:1:TAUPE_SANDY:1:TAUPE_GRAY:1:TAUPE_MEDIUM:1:ECRU:1]
[TLCM_NOUN:ears:PLURAL]
[SET_TL_GROUP:BY_CATEGORY:TAIL:HAIR]
[TL_COLOR_MODIFIER:BLACK:1:BROWN:1:WHITE:1:GRAY:1:LIGHT_BROWN:1:DARK_BROWN:1:TAN:1:AUBURN:1:CHESTNUT:1:SLATE_GRAY:1:CREAM:1:CINNAMON:1:BUFF:1:BEIGE:1:CHOCOLATE:1:CHARCOAL:1:ASH_GRAY:1:RUSSET:1:IVORY:1:FLAX:1:PUMPKIN:1:GOLD:1:GOLDEN_YELLOW:1:GOLDENROD:1:COPPER:1:SAFFRON:1:AMBER:1:MAHOGANY:1:OCHRE:1:PALE_BROWN:1:RAW_UMBER:1:BURNT_SIENNA:1:BURNT_UMBER:1:SEPIA:1:DARK_TAN:1:PALE_CHESTNUT:1:DARK_CHESTNUT:1:TAUPE_PALE:1:TAUPE_DARK:1:TAUPE_SANDY:1:TAUPE_GRAY:1:TAUPE_MEDIUM:1:ECRU:1]
[TLCM_NOUN:tail:SINGULAR]
[SET_TL_GROUP:BY_CATEGORY:HEAD:HAIR]
[TL_COLOR_MODIFIER:BLACK:1:BROWN:1:WHITE:1:GRAY:1:LIGHT_BROWN:1:DARK_BROWN:1:TAN:1:AUBURN:1:CHESTNUT:1:SLATE_GRAY:1:CREAM:1:CINNAMON:1:BUFF:1:BEIGE:1:CHOCOLATE:1:CHARCOAL:1:ASH_GRAY:1:RUSSET:1:IVORY:1:FLAX:1:PUMPKIN:1:GOLD:1:GOLDEN_YELLOW:1:GOLDENROD:1:COPPER:1:SAFFRON:1:AMBER:1:MAHOGANY:1:OCHRE:1:PALE_BROWN:1:RAW_UMBER:1:BURNT_SIENNA:1:BURNT_UMBER:1:SEPIA:1:DARK_TAN:1:PALE_CHESTNUT:1:DARK_CHESTNUT:1:TAUPE_PALE:1:TAUPE_DARK:1:TAUPE_SANDY:1:TAUPE_GRAY:1:TAUPE_MEDIUM:1:ECRU:1]
[TLCM_NOUN:head:SINGULAR]
[SET_TL_GROUP:BY_CATEGORY:FOOT_FRONT:HAIR]
[PLUS_TL_GROUP:BY_TOKEN:RFTOE1:HAIR]
[PLUS_TL_GROUP:BY_TOKEN:RFTOE2:HAIR]
[PLUS_TL_GROUP:BY_TOKEN:RFTOE3:HAIR]
[PLUS_TL_GROUP:BY_TOKEN:RFTOE4:HAIR]
[PLUS_TL_GROUP:BY_TOKEN:LFTOE1:HAIR]
[PLUS_TL_GROUP:BY_TOKEN:LFTOE2:HAIR]
[PLUS_TL_GROUP:BY_TOKEN:LFTOE3:HAIR]
[PLUS_TL_GROUP:BY_TOKEN:LFTOE4:HAIR]
[TL_COLOR_MODIFIER:BLACK:1:BROWN:1:WHITE:1:GRAY:1:LIGHT_BROWN:1:DARK_BROWN:1:TAN:1:AUBURN:1:CHESTNUT:1:SLATE_GRAY:1:CREAM:1:CINNAMON:1:BUFF:1:BEIGE:1:CHOCOLATE:1:CHARCOAL:1:ASH_GRAY:1:RUSSET:1:IVORY:1:FLAX:1:PUMPKIN:1:GOLD:1:GOLDEN_YELLOW:1:GOLDENROD:1:COPPER:1:SAFFRON:1:AMBER:1:MAHOGANY:1:OCHRE:1:PALE_BROWN:1:RAW_UMBER:1:BURNT_SIENNA:1:BURNT_UMBER:1:SEPIA:1:DARK_TAN:1:PALE_CHESTNUT:1:DARK_CHESTNUT:1:TAUPE_PALE:1:TAUPE_DARK:1:TAUPE_SANDY:1:TAUPE_GRAY:1:TAUPE_MEDIUM:1:ECRU:1]
[TLCM_NOUN:front paws:PLURAL]
[SET_TL_GROUP:BY_CATEGORY:FOOT_REAR:HAIR]
[PLUS_TL_GROUP:BY_TOKEN:RRTOE1:HAIR]
[PLUS_TL_GROUP:BY_TOKEN:RRTOE2:HAIR]
[PLUS_TL_GROUP:BY_TOKEN:RRTOE3:HAIR]
[PLUS_TL_GROUP:BY_TOKEN:RRTOE4:HAIR]
[PLUS_TL_GROUP:BY_TOKEN:LRTOE1:HAIR]
[PLUS_TL_GROUP:BY_TOKEN:LRTOE2:HAIR]
[PLUS_TL_GROUP:BY_TOKEN:LRTOE3:HAIR]
[PLUS_TL_GROUP:BY_TOKEN:LRTOE4:HAIR]
[TL_COLOR_MODIFIER:BLACK:1:BROWN:1:WHITE:1:GRAY:1:LIGHT_BROWN:1:DARK_BROWN:1:TAN:1:AUBURN:1:CHESTNUT:1:SLATE_GRAY:1:CREAM:1:CINNAMON:1:BUFF:1:BEIGE:1:CHOCOLATE:1:CHARCOAL:1:ASH_GRAY:1:RUSSET:1:IVORY:1:FLAX:1:PUMPKIN:1:GOLD:1:GOLDEN_YELLOW:1:GOLDENROD:1:COPPER:1:SAFFRON:1:AMBER:1:MAHOGANY:1:OCHRE:1:PALE_BROWN:1:RAW_UMBER:1:BURNT_SIENNA:1:BURNT_UMBER:1:SEPIA:1:DARK_TAN:1:PALE_CHESTNUT:1:DARK_CHESTNUT:1:TAUPE_PALE:1:TAUPE_DARK:1:TAUPE_SANDY:1:TAUPE_GRAY:1:TAUPE_MEDIUM:1:ECRU:1]
[TLCM_NOUN:rear paws:PLURAL]
[TISSUE_LAYER_APPEARANCE_MODIFIER:LENGTH:0:0:0:0:0:0:0]
[APP_MOD_NOUN:wool:SINGULAR]
[APP_MOD_RATE:1:DAILY:0:300:0:0:NO_END]
[APP_MOD_DESC_RANGE:10:50:100:150:200:300]
[SHEARABLE_TISSUE_LAYER:LENGTH:300]
[SET_TL_GROUP:BY_CATEGORY:ALL:SKIN]
[TL_COLOR_MODIFIER:BROWN:1:BURNT_UMBER:1:CINNAMON:1:COPPER:1:DARK_BROWN:1:DARK_PEACH:1:DARK_TAN:1:ECRU:1:PALE_BROWN:1:PALE_CHESTNUT:1:PALE_PINK:1:PEACH:1:PINK:1:RAW_UMBER:1:SEPIA:1:TAN:1:TAUPE_PALE:1:TAUPE_SANDY:1]
[TLCM_NOUN:skin:SINGULAR]
[SET_TL_GROUP:BY_CATEGORY:EYE:EYE]
[TL_COLOR_MODIFIER:IRIS_EYE_AMBER:1:IRIS_EYE_AQUA:1:IRIS_EYE_AQUAMARINE:1:IRIS_EYE_ASH_GRAY:1:IRIS_EYE_AUBURN:1:IRIS_EYE_AZURE:1:IRIS_EYE_BLUE:1:IRIS_EYE_BRASS:1:IRIS_EYE_BRONZE:1:IRIS_EYE_BROWN:1:IRIS_EYE_CERULEAN:1:IRIS_EYE_CHESTNUT:1:IRIS_EYE_CHOCOLATE:1:IRIS_EYE_CINNAMON:1:IRIS_EYE_COPPER:1:IRIS_EYE_DARK_BLUE:1:IRIS_EYE_DARK_BROWN:1:IRIS_EYE_DARK_CHESTNUT:1:IRIS_EYE_DARK_GREEN:1:IRIS_EYE_DARK_OLIVE:1:IRIS_EYE_DARK_TAN:1:IRIS_EYE_ECRU:1:IRIS_EYE_EMERALD:1:IRIS_EYE_FERN_GREEN:1:IRIS_EYE_GRAY:1:IRIS_EYE_GREEN:1:IRIS_EYE_JADE:1:IRIS_EYE_LIGHT_BLUE:1:IRIS_EYE_LIGHT_BROWN:1:IRIS_EYE_MAHOGANY:1:IRIS_EYE_MIDNIGHT_BLUE:1:IRIS_EYE_OCHRE:1:IRIS_EYE_OLIVE:1:IRIS_EYE_PALE_BLUE:1:IRIS_EYE_PALE_BROWN:1:IRIS_EYE_PALE_CHESTNUT:1:IRIS_EYE_PERIWINKLE:1:IRIS_EYE_PINE_GREEN:1:IRIS_EYE_RAW_UMBER:1:IRIS_EYE_RUSSET:1:IRIS_EYE_SEA_GREEN:1:IRIS_EYE_SEPIA:1:IRIS_EYE_SKY_BLUE:1:IRIS_EYE_SLATE_GRAY:1:IRIS_EYE_SPRING_GREEN:1:IRIS_EYE_TAN:1:IRIS_EYE_TAUPE_DARK:1:IRIS_EYE_TAUPE_GRAY:1:IRIS_EYE_TAUPE_MEDIUM:1:IRIS_EYE_TAUPE_PALE:1:IRIS_EYE_TAUPE_SANDY:1:IRIS_EYE_TEAL:1:IRIS_EYE_TURQUOISE:1]
[TLCM_NOUN:eyes:PLURAL]
After being shorn, the hair is stored in a refuse stockpile, but once spun goes to the cloth stockpile and is completely useable.
The cheese part may not be too historically accurate, but dog cheese is possible to make (google it), and indigenous north americans were making cloth from dog yarn for untold ages before sheep were introduced, so I really feel this little mod is not cheating in any way