My bike's better than me!
Joined: Feb 2005
Posts: 2,243
Likes: 342
From: Northern Colorado
Bikes: Moots Vamoots, 'Dale T2000, DB Response Comp, 1998 G. Fisher HKEK, 1989 Panasonic DX-6000, 1988 Fisher Montare XT, 1983 Nishiki Int'l, 1972 MB Grand Record, 1975 MB Grand Jubile, 1985 Centurion Ironman, 1982 Miyata 710
Lube it, wipe it down thoroughly with a rag "wrapped" around the chain in your fist.
Ride.
If it keeps getting really dirty, try a different lube. Some like ProLink, but ... once you get into a generic "Which lube?" arena, I'd suggest a forum search.
The wiping it down part is key, though.