“Noggin”: word that’s contrived to cause offence (10)
I believe the answer is:
wrongdoing
'offence' is the definition.
(thesaurus)
'noggin word that's contrived' is the wordplay.
'that's contrived' is an anagram indicator.
'noggin'+'word'='nogginword'
'nogginword' anagrammed gives 'WRONGDOING'.
'to cause' is the link.
(Other definitions for wrongdoing that I've seen before include "Misdeed" , "sin" , "Evil action" , "Illegal behaviour" .)