In management, be constantly critical (3)

I believe the answer is:

nag

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'constantly critical' is the definition.
I can't judge whether this defines the answer.

'in management be' is the wordplay.
'in' indicates the answer is hidden within the clue.
'NAG' is hidden in the letters of 'management be'.

Can you help me to learn more?

(Other definitions for nag that I've seen before include "Bother persistently" , "Jade" , "Old Arab maybe" , "Pester; old horse" , "Complaint" .)

I've seen this clue in the Evening Standard.

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