Crossword Genius

Small disagreement — is it over a shoe? (4)

Ross

I believe the answer is:

spat

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'small disagreement' is the definition.
'spat' can be an answer for 'disagreement' (spat is a kind of disagreement). I am not certain of the 'small' bit.

'is it over a shoe?' is the wordplay.
'is it' becomes 'st' (I've seen this in other clues).
'over' indicates putting letters inside.
'a shoe?' becomes 'pa' (I can't justify this - if you can you should give a lot more credence to this answer).
'st' placed around 'pa' is 'SPAT'.

Can you help me to learn more?

(Other definitions for spat that I've seen before include "A small tiff or quarrel" , "Taps in minor quarrel" , "Slight quarrel - ejected saliva" , "Old leg wear - brief quarrel" , "A minor dispute or row" .)

I've seen this clue in The Times.
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