Government study of stars and cooking (10)
I believe the answer is:
gastronomy
'cooking' is the definition.
(I know that gastronomy is a type of cuisine)
'government study of stars' is the wordplay.
'government' becomes 'g' (abbreviation for government).
'study of stars' becomes 'astronomy' (I've seen this before).
'g'+'astronomy'='GASTRONOMY'
'and' is the link.
(Other definitions for gastronomy that I've seen before include "science of food" , "Art of good eating" , "Culinary art" , "Art of good-eating" , "Practice of preparing and eating good food" .)