I figure that you are using Limewire's own player, right?
Well, if that's the case, try playing the songs in another player. While the devs have recently improved the player, depending on computer configurations it might still not perform very well, so it's best to just use a dedicated player.

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iMac G4 OSX 10.3.9
RAM 256MB
LW 4.10.5 Basic
ADSL anything from 3 to 8Mbps/around 1024kbps

"Raise your can of Beer on high
And seal your fate forever
Our best years have passed us by
The Golden Age Of Leather"
-Blue Öyster Cult-