Mine tried that for a little while but being consistent with a firm "No!" and putting her down promptly put an end to that.  She was nearly 10 months before her first teeth came through, but she got 4 teeth in 2 days and knew what to do with them.  I would tell her "Your teeth are for chewing food" then put her back on after about 10 minutes or so.  She got it, she didn't try it much, within a week she was out of the habit.  Once I had to stop the feed and didn't put her on until we'd done what we needed to do which was 2 hours after taking her off so I think that's when she learnt her lesson, not that it was planned or anything.

ouch, that does sound painfull.