Try the advice in this post (below) first.
http://www.gnutellaforums.com/230100-post7.html

If that doesn't help, start from scratch again.

1. Install Java first. You can either update to the latest version here (I have this one & LW's working fine): Java SE Downloads
or try this older version, which has worked well for lots of people: Archive: Download Java 2 Platform Standard Edition (J2SE) 5.0 Update 11
Whichever Java version you use, download the JRE offline installer & remove any other Java versions before installing another one.

2. Download the LW offline installer. When you click to download & a dialog box pops up, cancel it. Now use the option to download the offline installer
Lime Wire » Download LimeWire