Your body is transforming at this very moment through mitosis. Gradually, cell by cell and depending on what kind of activity you are performing you are becoming stronger, smarter, weaker or dumber. Regarding consciousness, my personal belief is that there is no continuity and it's more like the frame rate of a video or sample rate of a song.

You could read about the Buddhist concept of impermanence and the five aggregates of being which sounds similar to the idea of a metamorphosis, only not just human but everything changing all the time.