A vacuum with a small dia tube (like 1" vs 3"shopvac)
I put a nylon over it to catch small items before they can enter the tube. (learned from someone here). (Hang on consistently or it will be in the dust bin pronto, lol)
I agitate dust with paint brushes, brushing dust at the nozzle; laid flat mostly. I usr large artist paint brushes/a fan brush for large flats, sometime use a household 1/2", 2", etc. brush, always with natural bristles vs plastic. (really small plastic bristle brushes make occasional appearances)
I'm the Bob Ross of trains when vacuuming; a new brush in hand every few seconds to gain a better angle.
For stuff like satin, cloth.... grass/etc. a light plastic bristle and light touch works better than any size super soft bristles.
Super bad? Dampening the brush in a small glass of water, soaking wiped up dust out of the brush with a rag, repeat. Dawn may be involved.
Water dries, dry things fast and damage is less likely ;oil protects metal ; it's practically a religion for me.
I have used compressed air to clean up shavings, etc. plenty; but not inside the house for dust. Sounds like ole "Carl" 
(caddyshack) Too much stirred around rather than eliminated so I vacuum. (Sawdust? What's the tooth count? If fine, vacuum so it isn't blown everywhere; if coarse chips, blow on it all day. My household dust is on the very very fine side of sawdusty vs chip sized 🙃 ) With the garage door open my air compressor does grinder and paint dust duty often, I'm baulking at indoor dust.
