Country loses a body part (4)

I believe the answer is:

chin

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'body part' is the definition.
(chin is a kind of body part)

I can't explain the remainder of the clue.

(Other definitions for chin that I've seen before include "narrow opening" , "Inch (anag.)" , "hit" , "Lower face part" , "Outstanding jaw part" .)

I've seen this clue in The Hindu.

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