Crossword Genius

Betty regularly keeps card up sleeve (6)

Ross

I believe the answer is:

jacket

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

'betty regularly' is the definition.
I can't judge whether this definition defines the answer.

'card up sleeve' is the wordplay.
'card' becomes 'jack' (type of playing card).
'up sleeve' becomes 'et' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'jack'+'et'='JACKET'

'keeps' acts as a link.

Can you help me to learn more?

(Other definitions for jacket that I've seen before include "See 1" , "Outer skin of a potato" , "Short hip-length coat" , "Record sleeve" , "Outer garment or casing" .)

I've seen this clue in The Independent.
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