Source of great irritation (4,2,3,4)

I believe the answer is:

pain in the neck

(Other definitions for pain in the neck that I've seen before include "Bothersome annoying person" , "Annoyance (colloq.)" , "bind" , "Very tiresome person or thing" , "Troublesome person or thing" .)

I've seen this clue in The Guardian.

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