Famous "dame" -- part of assumed name (4)
I believe the answer is:
edna
'famous dame' is the definition.
(I've seen this before)
'part of assumed name' is the wordplay.
'part of' says the answer is hidden in the clue.
'EDNA' is hidden within 'assumed name'.
(Other definitions for edna that I've seen before include "- O'Brien, Ir. novelist" , "Girl for Dane" , "Girl's name; Dane (anag.)" , "Dean (anag) - it's a girl's name!" , "Dame - Everage, housewife-superstar" .)