Attended to the broken limb, though drunk (9)

I believe the answer is:

plastered

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'drunk' is the definition.
(slang term)

I don't understand the rest of the clue.

(Other definitions for plastered that I've seen before include "Drunk (as a ceiling or wall may be)" , "Paralytic (slang)" , "like walls and ceilings?" , "Very drunk (colloq.)" , "get soaked?" .)

I've seen this clue in the Evening Standard.

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