Pirate in reportedly crude song (7)
I believe the answer is:
corsair
'pirate' is the definition.
(I know that corsair is a type of pirate)
'reportedly crude song' is the wordplay.
'reportedly crude' becomes 'cors' (I am not sure about this - if you are sure you should believe this answer much more).
'song' becomes 'air' (air can mean a piece of music).
'cors'+'air'='CORSAIR'
'in' is the link.
Can you help me to learn more?
(Other definitions for corsair that I've seen before include "Barbary pirate - pirate ship" , "Pirate from N. Africa" , "Pirate (archaic)" , "Marauder" , "Privateer" .)