You didn't provide much information. Please read the forum rules for what information is needed for a member to assist. Forum rules are located at the top of this forum.
It looks as though something is blocking LimeWire from connecting. This usually caused by a firewall. Check out this link for configuring most common firewalls.
http://www.limewire.com/english/content/firewalls.shtml
This may also be caused by a NAT firewall built into your modem/router.
If this doesn't help please post back with more information.