It seems like I am having the same problem. LimeWire starts and then about 3 seconds after the interface comes up, it disappears.
The computer does not crash and there are no error messages. I re-installed and made all the changes to the firewall that are on the Limewire support page. But I can't get it to run.
When I installed the program everything seemed to install OK with no glitches.
Very frustrating