Clue: Singer Woody gets naughtier, leading couple stripping off (7)
Answer: GUTHRIE
Explanation: Definition: Singer Woody
***(ughtier) **[anag:*off*] where UGHTIER is (na)UGHTIER with its *leading couple stripped*. 
 
 
*Woody Guthrie (1912-1967) was an American folk singer and songwriter.