Baby Booties would be great for the board to sit on, as little footers (w/pressure sensitive adhesive). Grungebuster would make a great interface between the chip and clothes pin jaws. Rope caulk (available at hardware stores) or Permatex Blue Silicone Gasket Maker (available at auto parts stores) applied to the clothes pin itself, and/or to the circuit board should also help tame vibrations.
Baby Booties and grungebuster Dots both have equivalent potential sonically, though sometimes one or the other will adapt best with a given situation.
Herbie's Audio Lab