Trophy lost by a head (5)

I believe the answer is:

scalp

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'trophy' is the definition.
(I've seen this before)

I don't understand how the remainder of the clue works.

(Other definitions for scalp that I've seen before include "Skin covering top of the head" , "Hair producer" , "Skin with hair as trophy" , "Token of victory" , "Clasp (anag)" .)

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