Did you try the fixes here: Fixes for Limewire These may or may not fix your problems.
Can you give us a total desciption of your set up: 1. OS version?
2. What firewalls you have?
3. ram? 4. HDD space available?
5. Connection type?
6. Modem & router brand name & model numbers?
7. Where are you trying to connect from (home, school, work, etc.)?
These details are vital if you want us to find out what your connection problem is.