I noticed that that version was a bit buggy too. Go back to the download page and get 3.4.5. Then once you get it up and have selected your download, minimize LimeWire while it downloads. You can go back and check on it, but don't leave the window open if you plan on doing something else like browsing or running another program.

I know it sounds kooky, but I ran several tests this weekend and it seems to work. I was able to maintain the connection and complete several full downloads without an interruption.

Give it a shot and let me know what happens. Oh, BTW, I am running OSX 10.1.5, not 10.2x.