This problem doesn't sound like a limewire problem as much as it is a problem with the sources you are trying to download from. There are three possible causes for your problem. Especially, if you are trying to download popular content . i.e. (usually infringing)

#1 There are so many people trying to download from so few hosts. (supply/demand problem.)

#2 Since the early days of P2P there have been companies that place hosts on the network which return results for popular content but are configured in a way so that you can't actually download the files.

#4 Dynamic nature of the network. Don't forget that hosts join and leave the network constantly. Therefore, it is quite possible to perform a search, get results and by the time you go to download the files the hosts that returned the results has left the network i.e. more sources needed.

My suggestion is to try downloading some other files preferrably smaller ones. If they transfer without issue then you can look to the above suggestions as possible causes.

hope this helps.

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Lee Evans, President
LeeWare Development
http://www.leeware.com