Consume centres of ten roast pasties (3)

I believe the answer is:

eat

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'consume' is the definition.
(to consume something is to eat it)

'centres of ten roast pasties' is the wordplay.
'centres of' indicates the central letters (I've seen 'centre' mean this).
'roast pasties' becomes 'at' (I can't explain this - if you can you should believe this answer much more).
The middle of 'ten' is 'e'.
'e'+'at'='EAT'

Can you help me to learn more?

(Other definitions for eat that I've seen before include "Bite, chew and swallow" , "Dine in a restaurant" , "Worry" , "Consume for tea" , "Take food" .)

I've seen this clue in The Times.

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