If that doesn't work go to Start/My Computer/C:/Program Files/LimeWire delete the LimeWire folder.
After you do that follow the instructions below.
You will need to install Java and LimeWire manually First go to the first link.You can find Links to java in there Download Java to your hard drive by putting a mark in the save to disk box. Save it to my documents or wherever you save downloads from the Internet. Do the same with LimeWire the second link will take you there.
Now with that done click on start then control panel add/remove programs and see if Java is listed on the list if it is uninstall it.
Now click on the Java installer you saved to your hard drive and follow the instructions after you have completed that do the same with LimeWire.
Please post back and let us know if it worked. If it did not I will give further instructions on manually deleting Java and LimeWire from you registry.
http://www.java.com/en/download/manual.jsp use the offline installer
http://www.limewire.com/english/content/download.shtml