Crossword Genius

Rum sort of jacket seen on graduate (7)

Ross

I believe the answer is:

bacardi

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'rum' is the definition.
(I've seen this before)

'sort of jacket seen on graduate' is the wordplay.
'sort of jacket' becomes 'cardi' (I can't justify this - if you can you should believe this answer much more).
'seen on' means one lot of letters go next to another.
'graduate' becomes 'BA' (someone with a Bachelor of Arts degree).
'cardi' after 'ba' is 'BACARDI'.

Can you help me to learn more?

(Other definitions for bacardi that I've seen before include "white spirit" , "White rum, first produced in Cuba" , "Drink" .)

I've seen this clue in The Times.
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