Hello Christo,
I have a Mac G4 with X 10.2 and installed LW 4.8.1 and did not have to upgrade my OS. and it works great.
For LW 4.8.1 or LW 4.12.15.
Lime Wire » Download Out-Of-Date Installers
Also, delete your LW prefs folder whilst LW is CLOSED;
Deleting LW Preferences folder in OSX
You can look into this and give it a try.
Thanks,
Sisko