Dlddemon,
For the cases where the default installer fails, we have provided a generic installer that works on almost all operating systems. You can download it here:
http://www.limewire.com/LimeWireSoftOther
It is a .zip file which you should unzip in a folder of your choosing. After you unzip it, there will be a LimeWire.exe file in that folder which you can double-click to start Limewire.
Btw make sure the Java Runtime Environment is still installed on your computer (it should show in add/remove programs).
Let us know how that works.