I have broken one of my lower front teeth before and had to get it filed down to compensate. It didn't feel that great to play on. However, that's what got me into trying Anbesol, Orajel and Kanka. In other words, "Tested and approved." I find the taste to be better than Anbesol or Orajel, too. One of the little bottles will last you for years. (I'd recommend using a Q-Tip as an applicator -- or make sure you sterilize the included applicator after use.)
Makes me wonder, though, if Kanka, et al, could cause some buildup in the mouthpiece and/or neck and/or pads. I'd say, "Make sure you use a swab!"