I've got *mouse grunge*!!!

[Steve Simmons]

AIIIEEE!!!!  I've got MOUSE GRUNGE!!!  And it's TERMINAL!!!

OK, it's not all that serious.  But it is terminal.  My second-hand
abused-by-students Sun 3/50 has a mouse that is damned near stuck to the
pad.  I've cleaned it once by sandpapering the felt pads on the mouse
(worked great -- I used 120 grit) but whatever sticky stuff that was once
spilled on it is still picking up dust and forming something not unlike
glue.  One more dose of sandpaper and I can kiss those felt pads goodbye.
Has anyone come up with a quick-n-easy clean or replace for those things?