When I first got my 240 I had a lot of trouble breaking the tires loose, as it turned out I was just not releasing the clutch fast enough, my natural instinct to feather the clutch out always stoped it from happining. One day I just got pissed off at it, took my left shoe off, held the clutch down with the tip of my toe, and slid my foot off the clutch, at 3500rpm's I left about a 15 foot mark on the ground (only one =( ) after that I just got used to doing it. My clutch was pretty beat up too, fifth gear was slipping on the free way under daily driving routines.
Go back and try it again, slide your foot off and you should get a nice chirp.