1. Make sure your firewall is properly configured (see link.) Also, if you have a high speed modem/router, check the UPnP & Port forward sections here:
Connection problems? Check here first! (click on link)
2. After doing the above, delete your LW Preferences folder whilst LW is
closed; instructions here:
Point #2 & 3 in Fixes for Limewire (sample image included at bottom of page.)
3. Try opening LW again.