I have dreams about losing teeth all the time. I finally got a book about dreams and it said:
Teeth falling out in dreams symbolize change. They indicate fear of losing something important. There's a whole bunch of other stuff too because there are ways that it can be positive and ways that it's negative. If you are interested I could actually bring the book with me to work so I can tell you more of what it says.
Maybe you fear losing yourself to your new relationship? Maybe it has nothing to do with the relationship and has to do with something else in your life.
Hey on a side note whenever you have a dream about your teeth falling out do you ever have to run to a mirror and check when you wake up? I know it's silly and it was just a dream but I still have to see that I'm ok