Click on the blue link in my first post...that's the official site for downloading LW

You didn't even tell us what OS you have. So I'll guess Windows

To (hopefully) prevent problems, install this way: First of all, install Java. Use the JRE (Java Runtime Environment) offline installer. Click on the blue link here.
Archive: Download Java 2 Platform Standard Edition (J2SE) 5.0 Update 11
Once you've downloaded the installer, go to Add/Remove programs & remove any other Java versions that you might have. Install the one you've just downloaded. Restart your computer.

Now go to the LimeWire download page by clicking on the other link I gave. Once you're at the stage where you've clicked to download LW & the box pops up, cancel it. You'll see the option (in orange text) to download the offline installer...download that offline installer to your computer & then install from there.