Cook belonging to place with famous restaurant by the Thames reportedly (6)
I believe the answer is:
braise
'cook' is the definition.
(I know that braise is a type of cook)
'belonging to place with famous restaurant by the thames reportedly' is the wordplay.
'belonging to place with famous restaurant by the thames' becomes 'Bray's' (Bray on Thames has two Michelin star restaurants).
'reportedly' shows a homophone (sound like).
'brays' is a homophone of 'BRAISE'.
(Other definitions for braise that I've seen before include "13 across (anag)" , "Fry then stew (meat)" , "Fry then stew, eg, steak" , "Rabies (anag.)" , "Cook by stewing" .)