Bishop, mature, left roll with hole (5)

I believe the answer is:

bagel

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'roll with hole' is the definition.
I can't judge whether this defines the answer.

'bishop mature left' is the wordplay.
'bishop' becomes 'B' (chess abbreviation).
'mature' becomes 'age' (synonyms).
'left' becomes 'l' (common abbreviation).
'b'+'age'+'l'='BAGEL'

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(Other definitions for bagel that I've seen before include "Ring-shaped bread product" , "It's edible" , "round fare" , "Hard doughnut-shaped roll" , "Jewish baked roll" .)

I've seen this clue in The Sun.

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