Stay with seaman, hung over after drinking instant tea, reportedly (5,2)

I believe the answer is:

stick to

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'stay with seaman hung over after drinking instant tea reportedly' is the definition.
I can't tell whether this definition defines the answer.

'stay with seaman hung over after drinking instant tea' is the wordplay.
I cannot really understand how this works, but
'stay' could be 'stick' (synonyms) and 'stick' is located in the answer.
'over' could be 'o' (cricket abbreviation) and 'o' is present in the answer.
'tea' could be 't' (I've seen this in other clues) and 't' is located in the answer.
No letters remain.
This explanation may well be incorrect...

Can you help me to learn more?

I've seen this clue in The Independent.

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