Filled to the gills (9)
'filled to the gills' is the definition.
(I've seen this in another clue)
This is all the clue.
(Other definitions for satiated that I've seen before include "Filled to satisfaction" , "Glutted or cloyed with excess as of food" , "Stuffed, glutted" , "Too full, having eaten excessively" , "Stuffed with food, completely full" .)