Hmph. Just read an article in the August 2005 issue of Scientific American which says that teeth are organs Why? Because a living tooth "comprises multiple tissue types, each with an essential function", such as enamel, dentin, pulp (filled with blood vessels and nerves), and ligaments.
The point of the article is to review efforts to possibly create living replacement teeth, both to help people who have lost teeth, but also to learn more about recreating organs. See Test-Tube Teeth. Sharpe, Paul T. and Young, Conan S. Scientific American; Aug2005, Vol. 293 Issue 2, p34+.