Answer:
I store fire-breathing animals.
I run up and down the stairs without moving
My first is in riddle but not in little. My second is in think but not in brink. My third is in thyme but not in time. My fourth is in mother but not in brother. My last is in time but no t in climb.
In many hall ways you would stand if not with me in hand.
You can build or destroy. Let creativity soar but be careful at night.
Whoever made me don't want me. Whoever bought me don't need me. Whoever use me don't know me.