Dud Moore, the famous lover? (5)
I believe the answer is:
romeo
'famous lover?' is the definition.
(I've seen this in another clue)
'dud moore' is the wordplay.
'dud' indicates an anagram.
'moore' anagrammed gives 'ROMEO'.
'the' acts as a 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" .)