Your problem's probably with Tiscali. Heaps of people have been having connection troubles. Have a look through these threads for more info.
Tiscali & Limewire can't connect between 5pm-11pm I have found a solution to getting Limewire to work with Tiscali
Make sure that the windows firewall's allowing LW access. If your router supports UPnP, enable it within the router & then choose the UPnP option within LW's tools > options > advanced > firewall config. Does the brick wall icon disappear? If not, try port forwarding. The instructions for your D-Link are below.
Port Forwarding for the Dlink DSL-G624T
LW's listening port, port in the 'manual port forward' box & port forwarded within the router all have to be the same number