Renouncing and devoting oneself entirely to (6,2)

'renouncing' is the definition.
('give up' can be a synonym of 'renounce')

'devoting oneself entirely to' is the wordplay.
I cannot quite see how this works, but
'devoting' could be 'giving' ('give' can be a synonym of 'devote') and 'giving' is found within the answer.
The remaining letters 'up' is a valid word which might be clued in a way I don't understand.
This may be the basis of clue (or it may be nonsense).

'and' acts as a link.

Can you help me to learn more?