You just got your wisdom teeth cut out and you can feel the stitches between your teeth and have to keep moving the end of the stitch. Is this normal?

Yes, but if it's really long and doesn't dissolve for a long time, then you should show your dentist/oral surgeon and they will most likely just say that it is a "loose stitch". Then they'll take some simple tweezers and pull it right out in a second. Don't worry... this happened to me today, and it didn't hurt a bit (and I am quite a wimp when it comes to pain). Hope this helps! :)