Traditionally flying dreams are associated with a shamanic calling, but other contextual information of the dream is necessary to really make that distinction.
According to my favorite dream interpretation book,
Dreaming with the Wheel by Sun Bear, Wabun Wind & Shawnodese the meaning of flying is:
KEYWORDS: Rapid; goal oriented; transcendent; spiritual; etheric; formlessness.
DESCRIPTION: Flying is moving rapidly. In dreams, this can be in your own body, in some other sort of body, or just as energy rapidly moving. In dreams of yourself flying as a bird or flying with a bird, it is important to note the kind of bird, then either see the entry for that bird or study the habits of that bird to better understand the dream.
COMMON MEANING: literally having an out-of-body experience.
TRICKSTER MEANING: See
Flies (keywords are Common, persistent, annoying, tenacious)
TRANSCENDENT MEANING: travelling in your etheric or spiritual body; a pleasant dream in which you feel free and without limits.
HUICHOL TEACHING: travelling to spirit places
Teacher Sun Bear does not have anything to say about "teeth".
(N.B. Sun Bear was a Native American Shaman of the Ojibwe people who went against tradition and accepted students of all tribes, races, and ethnicities. He caught a lot of heat from traditionalists in many tribes, but his vision was that all peoples should be able to share in the ancient wisdom of his people, so that the knowledge may live within all men.)