A number detained by US city journalist getting irked (7)
I believe the answer is:
annoyed
'irked' is the definition.
(thesaurus)
'a number detained by us city journalist' is the wordplay.
'number' becomes 'no' (abbreviation).
'detained by' is an insertion indicator (I've seen this in other clues).
'us city' becomes 'NY' (New York).
'journalist' becomes 'ed' (short for editor).
'no' placed within 'ny' is 'nnoy'.
'a'+'nnoy'+'ed'='ANNOYED'
'getting' is the link.
(Other definitions for annoyed that I've seen before include "Vexed, irritated" , "Upset" , "Irritated, irked" , "Cross" , "Made slightly angry" .)