I have been using microfiber cloths dry as tack cloths after sanding both bare wood and between finishing coats (solvent based shellac and PU varnish) for a couple of years without any problems. As others have said, beware there are different qualities, fiber types, and weave types. I simply began using the cloths I had purchased for use in polishing and waxing cars, and found they worked well. I prefer the longer napped ones such as the gold colored ones offered by Griot's Garage for general wiping of wood sanding dust. I have had no issues of using MF cloths that have been laundered, even when mixed with other items being laundered, even if my wife forgets and tosses a fabric softener sheet in the dryer (not recommended).
Dave R.