Offensive cleaner, say, turns up (6)
I believe the answer is:
charge
'offensive' is the definition.
(thesaurus)
'cleaner say turns up' is the wordplay.
'cleaner' becomes 'char' (charwoman is a type of cleaner).
'say' becomes 'eg'.
'turns up' shows that the letters should be reversed in order.
'eg' in reverse letter order is 'ge'.
'char'+'ge'='CHARGE'
(Other definitions for charge that I've seen before include "15 - or required payment" , "Load - price" , "Accusation (in court)" , "Rush to exact payment?" , "How much" .)