But back to DF- how to hell do you string together a cloth from gathering webs with your bare hands?
Personally, I think its back to the beard again.
To begin with, The dwarf in question, upon finding the spiderweb, dips his beard into the web and starts moving it this way and that. This causes the individual strands to be wound upon the beard. The better the dwarf is at it, the less breaks in the web.
When they get back to the settlements cloth stockpile, they use a fine comb to pull the strands off. Loremasters of Dwarven technology tell the most worthy dwarves of how a comb that has been used to brush a cat and has not yet been touched with iron can use the trapped playfulness of the cat to tease the strands onto the comb. This comes from the belief that if, after brushing a cat (an act not normally commited by any dwarf) if the comb does not touch iron, the cats playfulness is trapped, and after five days the cat crawls into a box and becomes undead. This is called the Schroidurist theory. The loremasters tell the weavers of a chant to bring back a cats playfulness.
A man who heard this tried telling the dwarves about magnetism and electrostatic forces, but the dwarves told him to bugger off and not be an idiot. That was after they had removed his left leg, and wrestled the axe from the loremasters fingers.
After that, the looming is easier. The comb is interwoven into the looms threads, and with extreme care, the spidersilk is wound off of the combs hairs onto the loom.