Satisfy (a desire) (7)

I think it could be either:

assuage

indulge

(Other definitions for indulge that I've seen before include "Honour" , "Pamper, spoil" , "Gratify a wish" , "Gratify (an appetite)" , "Mollycoddle -- eluding (anag)" .)

I've seen this clue in The Times.

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