A little late, intentionally avoided any restaurant (3,2)
I believe the answer is:
ate in
'avoided any restaurant' is the definition.
(ate at home)
'a little late intentionally' is the wordplay.
'a little' says the answer is hidden in the clue.
'ATE IN' can be found hidden inside 'late intentionally'.
(Other definitions for ate in that I've seen before include "Had something at home" , "Dined at home" , "Went to restaurant? Not" .)