Something's wrong then. Either the LW player is disabled or ... don't know. Go to LW's menu Tools>Options>Player & make sure the player is ticked. IF not, then tick it & press apply.
If still no good & you want to use the LW media player then try deleting your LW Preferences folder whilst LW is closed; instructions here:
Fixes for Limewire
Sometimes LW's media player won't play properly b/c LW is too busy. Perhaps you should use your default audio player to play instead. Go to LW's menu Tools>Options>Player & untick option & rpess apply. This won't take effect until next time you open LW. So next time your default player will launch & player the song when you preview or launch a song. If you don't have a decent player, then there's many a player out there to recommend. Here's a few: 1. QCD:
http://www.quinnware.com/ 2. iTunes:
http://www.apple.com/itunes/download/ 3.
dBpowerAMP, 4. WinAmp:
http://www.winamp.com/