The LOTR can probally help more than I can but he is going to need a little more information.
#1 What OS I/E Windows 98/2000/XP?
#2 What is your set up CPU,Video,ram etc.
#3 LimeWire version, Java version
#4 How you connect Cable, Dial up, Modem & model#
#5 Firewall you are using and configuration

Also are the files you are trying to downloade are the 4 star files with mutiple host , or are they rare files wit only 1 or 2 host do not give names of files please. If the download indicator says you are DL 1 file does it say how many KB/s give as much Info as possible the more Info the better chance of finding the probblem. Have patients the lord tries to help allot of people

Latter Grandpa