Hospital to get on well with a cut nicking hip (6)

I believe the answer is:

clinic

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

I don't understand the rest of the clue.

(Other definitions for clinic that I've seen before include "medical department" , "Place for medical treatment or political advice" , "Building where outpatients are treated" , "Medical or political facility" , "Healthcare facility" .)

I've seen this clue in The Times and The Sunday Times.

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