I get 2 non-fatal errors in the install log, but it doesn't appear to affect the operation of LW.

Try going to Tools>Options>Connections and type in the addresses below, then select File>Connect.

If that doesn't work, close and then restart Limewire.

Failing that, go to the Connections window in LW and type the addresses in there. Keep trying until you get a stable connection.

router.limewire.com
public.bearshare.net
connect1.bearshare.net
connect2.bearshare.net
connect3.bearshare.net
connect1.gnutellanet.com
connect2.gnutellanet.com
connect3.gnutellanet.com
connect4.gnutellanet.com
connect5.gnutellanet.com
connect6.gnutellanet.com
connect7.gnutellanet.com
gnet2.ath.cx
gnotella.fileflash.com
gnet2.ath.cx