Originally Posted by HarryStone
If the solenoid clicks, but doesn't chatter, it's making contact. Sounds like it could be a bad starter. Try smacking it with a hammer if you can reach it.
If banging on it makes no difference, you should be able to pull it out with two bolts (if your genny is on a slide - it's on top on the inside side.) Pull it out and jump it directly to test it.
If you can't remove it, try jumping it from the batt + to the starter side of the solenoid.