Tot tucked into ice cream that's put away (7)
I believe the answer is:
consume
'put away' is the definition.
(both can mean to eat)
'tot tucked into ice cream' is the wordplay.
'tot' becomes 'sum' (synonyms).
'tucked into' is an insertion indicator.
'ice cream' becomes 'cone' (cone can refer to an ice cream cone).
'sum' put into 'cone' is 'CONSUME'.
'that's' is the link.
(Other definitions for consume that I've seen before include "Eat, drink" , "Exhaust" , "Use up" , "Devour" .)