Crossword Genius

Doesn't acknowledge courtesy, oddly enough (4)

Ross

I believe the answer is:

cuts

'doesn't acknowledge' is the definition.
(cut can mean to ignore socially)

'courtesy oddly enough' is the wordplay.
'oddly enough' means one should take alternating letters.
The alternating letters of 'courtesy' are 'CUTS'.

(Other definitions for cuts that I've seen before include "Axes" , "Tears" , "Incisions" , "Reductions" , "Snubs" .)

I've seen this clue in The Guardian.
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