Evident cockiness in making a comeback (6)

I believe the answer is:

bounce

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But I can't explain it at all! Could you help me understand?

(Other definitions for bounce that I've seen before include "Reflect back from a surface" , "Rebound (like a cheque)" , "Rebound (of ball)" , "Exuberance; rebound" , "Showing self-confidence" .)

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