Crossword Genius

A pie-filling supplier's in dispute (2,4)


I believe the answer is:

at odds

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'in dispute' is the definition.

'a pie-filling supplier's' is the wordplay.
'pie' becomes 'patty' (patty is a kind of pie).
'filling' indicates the central letters (the letters which fill the word).
'supplier's' becomes 'odds' (I can't explain this - if you can you should give a lot more credence to this answer).
The middle of 'patty' is 't'.
'a'+'t'+'odds'='AT ODDS'

Can you help me to learn more?

(Other definitions for at odds that I've seen before include "At variance (with)" , "In opposition or disagreement" , "In conflict with, oppposed to (2,4)" , "In disagreement or dispute" , "Conflicting (with)" .)

I've seen this clue in The Telegraph.
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