Doolittle of "My Fair Lady" (5)
I believe the answer is:
eliza
'doolittle of my fair lady' is the definition.
(I've seen this in another clue)
This is the entire clue.
(Other definitions for eliza that I've seen before include "Henry Higgins' protege (My Fair Lady)" , "girl" , "woman" , "- Doolittle (Pygmalion)" , "Miss Doolittle" .)