Goody-goody above naughty crime (6)
I believe the answer is:
piracy
'crime' is the definition.
(piracy is a kind of crime)
'goody-goody above naughty' is the wordplay.
'goody goody' becomes 'pi' (I've seen this in other clues).
'above' says to put letters next to each other (in a down clue, some letters go above others).
'naughty' becomes 'racy' (synonyms).
'pi'+'racy'='PIRACY'
(Other definitions for piracy that I've seen before include "Illegal copying" , "Robbery at sea or of copyright" , "burglary, in the main?" , "Robbing of ships at sea" , "Robbery on the high seas" .)