Try some of the options here:
Fixes for Limewire Keep in mind your Java version because sometimes Java 1.5 behaves better on some people's systems whereas Java 1.4.2 behaves better on others. If you have Java 1.5 then perhaps uninstall it using Add/Remove programs control panel & then install the other java. But don't install it over the net! 1st downld & save the installer to your comp. & then install it.
If you have any firewalls then don't forget to configure it for LW's full access:
Firewall configuration instructions