Answer:
I climb higher as I get hotter. I can never escape from my crystal cage.
I go through a door but never go in and never come out.
I am the outstretched fingers that seize and hold the wind. Wisdom flows from me in other hands. Upon me are sweet dreams dreamt my merest touch brings laughter.
What has banks but no money a bed but no sleep waves but no ocean?
People buy me to eat but never eat me. What am I?
I start with T end with T and within me is T.