In the Applications folder, find and trash the LW icon (duh).
Then go to the Home directory and enter the Library folder there. Find the Preferences folder and inside it there will be a folder called Limewire. To the garbage with it.

It could also be your Java man. wwwjava.com
You may need to uninstall and reinstall that.

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iMac G4 OSX 10.3.9
RAM 256MB
LW 4.10.5 Basic
ADSL anything from 3 to 8Mbps/around 1024kbps

"Raise your can of Beer on high
And seal your fate forever
Our best years have passed us by
The Golden Age Of Leather"
-Blue Öyster Cult-