If the LW installation already fails in the beginning of the LW installation process, I would guess that there might be a faulty Java installation.
Uninstall LW and all Java versions on your system. Reboot and then download the JRE offline installer of the newest Java version from here:
http://java.sun.com/j2se/1.5.0/download.jsp
Install it and reboot again, then reinstall LW.
If that doesn't do the trick, try to install LW in save mode disabling all security programs on your system. And as a last resort, try to use the LW offline installer offered at the official site under OS "Others":
http://www.limewire.com/ 