Are you connected to AOL (version 6.0 or above) when you try to run LimeWire? If so, Limewire usually takes anywhere from a few seconds to a few minutes to connect. If nothing is happening, your computer may not like the Java 2 JRE. Go here for more information on an alternative version:
http://www.gnutellaforums.com/showth...&threadid=2963
or download the alternate version by clicking here:
http://www9.limewire.com/download/LimeWire16d118.exe
Hope this helps! :-) Post again if you need more help.