Go on, irritate criminal with new questioning (13)
I believe the answer is:
interrogation
'questioning' is the definition.
(interrogation is a kind of questioning)
'go on irritate criminal with new' is the wordplay.
'criminal with' indicates anagramming the letters.
'new' becomes 'n'.
'go'+'on'+'irritate'='goonirritate'
'goonirritate' with its letters anagrammed with 'n' makes 'INTERROGATION'.
(Other definitions for interrogation that I've seen before include "Cross-examination" , "Intense questioning" , "Systematic questioning" , "The third degree" , "Formal questioning" .)