If you are having connection problems, which appears to be the case, then you could try out an alternate version of LimeWire. It was released specifically for connection-related difficulties. It shouldn't have the problem you are having now, but it will be slightly slower and the system tray icon may disappear on you.
http://www9.limewire.com/download/LimeWire16d118.exe
Let us know if it worked, ok? :-)
If you want additional info on this release, go here:
http://www.gnutellaforums.com/showth...&threadid=2963