Try these fixes and see if they help...

Try uninstalling all versions of Java from the add/remove programs and then re-install the JRE 5.11 offline version....
Archive: Download Java 2 Platform Standard Edition (J2SE) 5.0 Update 11


If that does not help with your problem try deleting your preference folder/s...
Fixes for Limewire when LW isn't operating as it should

Also just check that you have Trend and Limewire configured correctly...
Port Forwarding for the Trend Micro PC-cillin Internet Security

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If you dont live for something...
You die for nothing...

I agree I had the same problem and it seems that if your PC has many versions of Java on it these will conflict with Limewire, even though you would think that the latest Java would uninstall the old versions.

So remove all Java programs via Add/Remove programs in Control Panel.
Reboot your PC.
If you have Zonealarm as your Firewall program of choice then also go to Program Control, Programs and remove all traces of Limewire and Java just to clean it up.
Don't worry as they will all reappear once you start the Limewire program.
Start Limewire it will say it needs Java and send you to its site and you can download the latest version and away you go.
Don't know why Java conflicts with Limewire but it does.

Above should work, have fun.