LimeWire has a bug that if you are downloading to many files or doing to many simultaneous searches while downloading it will kill your connection. Try to limit to 2 or 3 consecutive DL and do limited searching while downloading also do not have more than 1 or 2 files searching for sources while downloading.
The link below is about this problem.
http://www.gnutellaforums.com/showth...threadid=50743
You can help the Developers of LimeWire figure this problem out by doing stack traces the link below is how to do them with the new versions of LimeWire.
http://www.gnutellaforums.com/showth...threadid=51455