Crossword Genius

Put up with capless pen after most of tea was gobbled (5,2)


I believe the answer is:

eaten up

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

'gobbled' is the definition.
(I've seen this in another clue)

'put up with capless pen after most of tea' is the wordplay.
I cannot quite understand how this works, but
'up' is present in the answer.
an anagram of 'tea' is 'eat' which is within the answer.
The remaining letters 'en' is a valid word which might be clued in a way I don't understand.
This may be the basis of the clue (or it may be nonsense).

'was' is the link.

Can you help me to learn more?

(Other definitions for eaten up that I've seen before include "frantic?" , "Obsessed" , "finished off" , "Consumed" .)

I've seen this clue in The Mirror.
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