Answer:
I am a bow that can never be tied or broken but can disappear. What am I?
I have two bodies joined together as one. When standing still I run and run.
I can wake you up in the morning but I require no electricity or winding.
I am round. I have only one line. Circle is not my name indeed. What am I?
I am a tale in childrens' minds. Though an illusion, I occur every night. I give them a fantasy, I give them a fright. What am I?
Whoever made me don't want me. Whoever bought me don't need me. Whoever use me don't know me.