Staff produce vegetable (9)

I believe the answer is:

mangetout

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

'staff produce' is the wordplay.
'staff' becomes 'man' (as in staffing or manning a particular place).
'produce' becomes 'getout' (I can't justify this - if you can you should give a lot more credence to this answer).
'man'+'getout'='MANGETOUT'

Can you help me to learn more?

(Other definitions for mangetout that I've seen before include "Sugar peas" , "something on the plate" , "vegetables" , "From this pod" , "Edible pea pods" .)

I've seen this clue in The Times.

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