If you haven't already, try deleting LW's preferences folder when LW's properly closed (check in Task Manager - if there's a LW process running then end the process). See point 3 here & also point 2 if you've used older versions of LW in the past (there could be a folder in either location).
Fixes for LimeWire
This will change all of your settings within options, you'll have to go back through afterwards & reset things. If you're not sure of your settings, go through LW's tools > options & write them all down, so that you can reset things later. If you have incomplete downloads that you want to resume, make sure to read post #5 of the thread above!
Vista users: LimeWire Pref Folder in Vista

Do you have Alcohol software installed? If so, look here.
LW starts then close, log: resolve_virtual_call

You could also try the advice here: FIX: LimeWire won't start or closes immediately