Really like getting home to eat heartily (3,2)
I believe the answer is:
dig in
'eat heartily' is the definition.
(synonyms)
'really like getting home' is the wordplay.
'really like' becomes 'dig' (to dig can mean to appreciate or 'get').
'getting' is a charade indicator (letters next to each other).
'home' becomes 'in' (to be in is to be (at) home).
'dig'+'in'='DIG IN'
'to' acts as a link.
(Other definitions for dig in that I've seen before include "prepare trench" , "protect himself" , "Enjoy the food" , "Start eating (informal)" , "Start to scoff" .)