Hi Maanu,
I also use limewire 4.9.37 pro and zone alarm pro and was having the same problem, so I put my computer through a program called win speed ,but it didn't really help. So I did a virus scan with my zone alarm , and found that I had 2 viruses which once I got rid of them I found that Limewire would work a lot better, so maybe you should try this first.

PS. hope this helps if not I'll try to find out any other things that may cause this problem.
Have you opened up zone alarm and clicked on program control and gave Limewire permission in your trusted zone to have access to the internet

conan