Object to being not quite sober (5)

I believe the answer is:

demur

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'object' is the definition.
(to demur is to object to something)

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(Other definitions for demur that I've seen before include "Cavil, dispute" , "Protest or disagree mildly" , "Raise mild objection" , "Dissent, object" , "Hesitation" .)

I've seen this clue in The Globe and Mail.

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