Dis assemble the remote then rubbing alcohol, toothbrush.... Scrub scrub scrub. The rubber coating will come off.
The two MX880's I use at home were really sticky, alcohol worked great. One looked pretty bad so I put a coat of black spray paint on it, still good almost a year later.
I'm Not an engineer, but I play one on TV. My handle is Tweety but I have nothing to do with the organization of similar name. I just had a really big head as a child so folks called me tweety bird.