My prefix comes first, my suffix in the end.
I have a tail, a tail I can bend.
My infix in every circle you find.
So tell me, have you made up your mind?
To provide you a hint, you can catch me on tape,
The last line is not a hint. I've added that line just to have a rhyme to the previous one.
After a long period of time,
you've lost your tail, but I kept mine.
EDIT: Sorry for the big mistake... I accidentally put prefix und suffix in the wrong order of the riddle. I apologize for that.