Gourmet’s dog tucking into last of nice baked dish (7)
I believe the answer is:
epicure
'gourmet's' is the definition.
(synonyms)
'dog tucking into last of nice baked dish' is the wordplay.
'dog' becomes 'cur' (cur is a kind of dog).
'tucking into' is an insertion indicator.
'last of' suggests the final letters.
'baked dish' becomes 'pie' (I've seen this before).
The final letter of 'nice' is 'e'.
'e'+'pie'='epie'
'cur' put into 'epie' is 'EPICURE'.
(Other definitions for epicure that I've seen before include "Gourmand" , "Connoisseur" , "One enjoying fine food and drink" , "Fine food expert" , "discriminating person" .)