Dud Moore, the famous lover? (5)
I believe the answer is:
romeo
'famous lover?' is the definition.
(I've seen this before)
'dud moore' is the wordplay.
'dud' is an anagram indicator.
'moore' is an anagram of 'ROMEO'.
'the' is the link.
(Other definitions for romeo that I've seen before include "Juliet's swain" , "24's lover" , "Lover; R (radio comms.)" , "Latin lover" , "A loving character" .)