If you are using SuSE, make sure your /usr/lib/jre points to /usr/lib/jre1.3.1 or /usr/lib/jdk1.3.1/jre and (if it exists) /usr/lib/java points to /usr/lib/jdk1.3.1

You can create a symlink with:

ln -s /usr/lib/jre1.3.1 /usr/lib/jre

But I'm sure the konqueror offers a similar function with a gui.

Then you have to make sure, the .bin is executable.

If it still won't work, just get LimeWire for linux from http://www.limewire.com/index.jsp/download_other without the installer.