I keep a lint roller in my sewing room, my favorite one is like a paint roller, easier for me to work with. I use it to get the fuzz off my rottary cutting mat also. I also have packing tape and keep a roll of scotch tape near my sewing machine for the times when I have burried my lint roller.
Also I use the tape for the small pieces of thread when I "unsew" something. It really pulls those small, itty, bitty pieces out easily.
Linda