Set off, not worried about being famous (5)
I believe the answer is:
noted
'famous' is the definition.
(noted can mean well-known or famous)
'set off not worried about being' is the wordplay.
I cannot really see how this works, but
'not' could be 'no' (I've seen this in other clues) and 'no' is found in the answer.
'being' could be 'ted' (Ted is an example) and 'ted' is found in the answer.
This accounts for all the letters.
This explanation may well be incorrect...
Can you help me to learn more?
(Other definitions for noted that I've seen before include "Celebrated, eminent" , "Recorded in writing" , "Well known; registered" , "Famed" , "taken down" .)