Go to Home in the Finder and into the Library there. Find the Preferences folder and enter it. Once inside, see if you can find a Limewire folder. If there is one, delete it.
In your applications folder, can you find LW?
Redld the installer and reinstall.

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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-