Pub garden did cooked food (5,7)

I believe the answer is:

bread pudding

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'pub garden did cooked food' is the definition.
I can't tell whether this definition defines the answer.

'pub garden did cooked' is the wordplay.
'cooked' indicates an anagram (letters cooked into a new form).
'pub'+'garden'+'did'='pubgardendid'
'pubgardendid' anagrammed gives 'BREAD PUDDING'.

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I've seen this clue in The Telegraph.

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