Dante isn't involved in headcount and that hurts (4)

I believe the answer is:

ouch

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'that hurts' is the definition.

I cannot understand how the remainder of the clue works.

(Other definitions for ouch that I've seen before include "Exclamation of sudden pain" , "Reaction when pricked" , "Ow!" , "Cry of pain" , "Ruby, perhaps once in it" .)

I've seen this clue in the Irish Times and the Irish Times (Crosaire).

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