Snooze after eating dad's food (6)
I believe the answer is:
repast
'food' is the definition.
(repast is a kind of food)
'snooze after eating dad's' is the wordplay.
'snooze' becomes 'rest' (I've seen this in another clue).
'after eating' means one lot of letters goes inside another.
'dad' becomes 'pa' (both can mean one's father).
'rest' enclosing 'pa' is 'REPAST'.
(Other definitions for repast that I've seen before include "lunch?" , "Feast, meal" , "A meal concerning time gone by" , "Food - tapers (anag)" , "A formal sort of meal" .)