Am fed up being renowned (5)
I believe the answer is:
famed
'renowned' is the definition.
('famed' can be a synonym of 'renowned')
'am fed up' is the wordplay.
'up' is an anagram indicator.
'am'+'fed'='amfed'
'amfed' with letters rearranged gives 'FAMED'.
'being' acts as a link.
(Other definitions for famed that I've seen before include "Acclaimed" , "Well-known" , "Noted" , "Eminent" , "Renowned" .)