If you're using Windows, try doing it this way:
First of all, install Java. Download the JRE offline installer & remove any other Java versions installed (Add/Remove Programs) before installing this one.
Java SE Downloads
After you install Java, restart your computer.
Now install LW & make sure to use the offline installer there (when you click to download the installer & a dialog box pops up, cancel that...then use the option to download the offlilne installer)
Lime Wire » Download LimeWire