Crossword Genius

Bread and some butter eaten by president briefly (7)

Ross

I believe the answer is:

chapati

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'bread' is the definition.
(chapati is a kind of bread)

'some butter eaten by president briefly' is the wordplay.
'some butter' becomes 'pat' (a pat can mean a lump of butter).
'eaten by' is an insertion indicator (inserted letters get eaten).
'president briefly' becomes 'chai' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'pat' put into 'chai' is 'CHAPATI'.

'and' is the link.

Can you help me to learn more?

(Other definitions for chapati that I've seen before include "Unleavened bread of India" , "Sort of bread" , "Indian pancake" , "What Indian waiter might bring" , "Piece of bread (Indian)" .)

I've seen this clue in The Times.
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