Crossword Genius

In conversation claim female consumed surfeit (7)

Ross

I believe the answer is:

satiate

I'm a little stuck... Click here to teach me more about this clue!

'surfeit' is the definition.
(I've seen this in another clue)

'in conversation claim female consumed' is the wordplay.
I cannot quite see how this works, but
'consumed' could be 'ate' (to eat is to consume food) and 'ate' is present in the answer.
The remaining letters 'sati' is a valid word which might be clued in a way I don't understand.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?

(Other definitions for satiate that I've seen before include "Completely satisfy" , "Have more than enough" , "Gratify fully" , "stuff" , "Overstuff" .)

I've seen this clue in The Times.
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