Grumble about state briefly wishing to please (11)

I believe the answer is:

complaisant

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'grumble about state briefly wishing to please' is the definition.
I can't judge whether this definition defines the answer.

'about state briefly wishing to please' is the wordplay.
I cannot quite see how this works, but
'about' could be 'c' (circa) and 'c' is found in the answer.
'state' could be 'sa' (South Australia) and 'sa' is found within the answer.
'please' could be 'o' (form of address eg in an ode) and 'o' is found within the answer.
This explanation may well be incorrect...

Can you help me to learn more?

(Other definitions for complaisant that I've seen before include "willing to please" , "Not demanding" .)

I've seen this clue in The Times.

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