i run my comp on a LAN ...
 

and when i search i dont get any results at all.....however, LimeWire shows that it is connected....what should i do? can LimeWire work with LANs? can someone please walk me through this? thank you for all ur help! ^^

yes it can, but a little information is needed.

Computer type and CPU
Operating system and sp (MAC,Win98)
HDD
RAM
Firewalls
LimeWire Version
Java Version
Modem type and model number
Router type and model number
Where are you connecting from (Home,Office,School)

For me, LW worked on my home LAN with no extra configuration at all! My brother was searching for a song by some rapping group and it turns out it was in my list of shared songs, so the download went to the top of his list. The yellow stars because blue stars to signify a very fast connection (I guess) and he downloaded it from me at 100 Mbps (LAN speed). Made me realize that LW has tremendous University Network potential. :P Everybody sharing files at 100 Mbps (1 Gbps if they use gigabit networking!)

EDIT: Oh I just realised by "extra information" you meant to help him, not meaning that LW required extra information about one's system to work on a LAN.