You can also listen to the songs in the 'Track Groups' menu and when using 'Move Tracks'.
COMPLETE
Available from PlayIt Live 2.15. Right-click a track in the Edit Listed Track Group window or the Move Tracks window and choose Preview audio to hear it.
Comment on this feature request:
Jason Allen commented
Available from PlayIt Live 2.15. Right-click a track in the Edit Listed Track Group window or the Move Tracks window and choose Preview audio to hear it.