New name for Mr Lee (5)
I believe the answer is:
elmer
'new name' is the definition.
I don't know anything about this answer so I can't judge whether this works.
'mr lee' is the wordplay.
'mr lee' anagrams to 'ELMER'.
Though, I'm not sure how this is indicated.
'for' is the link.
Can you help me to learn more?
(Other definitions for elmer that I've seen before include "____ Rice, US dramatist" , "name" , "- - Gantry (book, film)" , "Man" .)