Crossword Genius

Me clutching booze, knocked back at one: clues initially incomprehensible (9)

Ross

I believe the answer is:

enigmatic

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

'incomprehensible' is the definition.
(similar in meaning)

'me clutching booze knocked back at one clues initially' is the wordplay.
I cannot really see how this works, but
'me' could be 'i' and 'i' is located in the answer.
'at' is found in the answer.
'one' could be 'i' (Roman numeral) and 'i' is present in the answer.
This explanation may well be incorrect...

Can you help me to learn more?

(Other definitions for enigmatic that I've seen before include "Hard to fathom" , "not obvious" , "Like a puzzle" , "Mysterious or puzzling, like Mona Lisa's smile" , "with mysterious substance" .)

I've seen this clue in The Times.
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