OK...
Port :6346 is blocked by your school ISP administrator.
So, next...

Look at the

Alternate PORTS link in my 'sig' and after studying the info, try some different ports.

btw, you have not said whether or not you have installed LimeWire for the first time on the machine you are using or if it is an 'upgrade'. You also did not say if you have had any success with a different Gnutella Network based p2p client.

Kazaa is a very different system and uses different ports, as well...

Hey, don't be shy with the info about your system and all... The more you explain in the beginning, the fewer posts needed to clarify your 'situation'... = Faster solving of your problem !