I have been cleaning small stacks of chips with Dawn dish soap and a bulk pack of cheap soft bristle toothbrushes. Let it soak for a few minutes in the soapy bath. Scrub each face of the chip. Grab a handful of clean ones to hold as a stack so that you have enough surface area to scrub the edges of your chips. Lay on a towel to dry. I like to fold the towel over so that it covers both faces of the chip.
20 minutes later they are much easier to shuffle!