Crossword Genius

At barbie, Jack becomes mine (8)

Ross

I believe the answer is:

turnspit

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'at barbie jack' is the definition.
I can't tell whether this definition defines the answer.

'becomes mine' is the wordplay.
'becomes' becomes 'turns' ('turn' can be a synonym of 'become').
'mine' becomes 'pit' (down the pit).
'turns'+'pit'='TURNSPIT'

Can you help me to learn more?

(Other definitions for turnspit that I've seen before include "old servant who cooks" , "Lowly servant" , "Old roast attendant" , "Cooking assistant" , "You have rotisserie" .)

I've seen this clue in The Telegraph.
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