This may be mundane stuff, there may be better ways, but the former is kinda neat and the latter is dead simple... and neither occurred to me in my first weeks of play.
About two years into my latest fortress, I'd finally decided to organize my stone that was strewn all over the fortress.
I setup a couple stockpiles to quickly get it handled, and now looking after it later as I start a fresh mining project and dwarves swarm in with wheelbarrows to pick up the stone almost as it drops from the wall... I'm kind of impressed.
Start with 9 stone stockpiles in a 3x3 grid.
Give each 3 wheelbarrows.
Have the outer 8 stockpiles feed to the center stockpile
Have the center accept only from links.
Undesignate the center square of the center stockpile, as well as one space adjacent to that center block.
Put your quantom stockpile in those two freed up spaces.
Make lots of wheelbarrows - this monstrosity uses 27.
It will freely occupy up to 27 dwarves, with wheelbarrows, for the simple purpose of clearing loose stone. Leave it in place after, and dwarves will quickly clean up after even major mining efforts.
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Clearing a small space of stone ..
If you've just dug out a room you plan to immediately make inaccessible (for example, if you are making a cistern...), but want to loot/clear the stone first, designate two stone stockpiles.
One in the area you want cleaned out, and one just outside, where the dwarves can drop the stone. Set both to only accept stone from links, and feed the stockpile with the loose stone into the receiving stockpile. Remove wheelbarrows (dwarves don't need to haul far).
//Torrenal