Before work half finished, darling, up for some food? (5,5)

I believe the answer is:

doner kebab

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'some food?' is the definition.
(I have seen 'fast food' mean 'doner kebab' so perhaps 'food' could also mean 'doner kebab')

I can't explain the remainder of the clue.

Can you help me to learn more?

(Other definitions for doner kebab that I've seen before include "Fast food dish" , "Skewered meat" , "Snack" , "Turkish lamb dish" .)

I've seen this clue in The Guardian.

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