Well, Limewire will not play them per se, as in Limewire's built-in player won't play them. However, if you try to launch them through Limewire (for a preview of the download for example) then Limewire will open the player that has been sepcified as default for opening .avi and play it there.

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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-