Crossword Genius

Each put back to consume entirely (3,2)

Ross

I believe the answer is:

eat up

I'm a little stuck... Click here to teach me more about this clue!

'consume entirely' is the definition.
'eat up' can be an answer for 'consume' (I've seen this in another clue). I'm not sure about the 'entirely' bit.

'each put back' is the wordplay.
I cannot really understand how this works, but
'each' could be 'ea' (abbreviation) and 'ea' is located in the answer.
an anagram of 'put' is 'tup' which is located in the answer.
No letters remain.
This may be the basis of the clue (or it may be nonsense).

'to' acts as a link.

Can you help me to learn more?

(Other definitions for eat up that I've seen before include "Consume completely" , "43 [TUCK] in" , "polish off" , "Exhaust" , "Consume, absorb" .)

I've seen this clue in the Sydney Morning Herald.
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