Doctor Who's theatrical performance (4)
I believe the answer is:
show
'theatrical performance' is the definition.
(thesaurus)
'doctor who's' is the wordplay.
'doctor' indicates an anagram.
'whos' is an anagram of 'SHOW'.
(Other definitions for show that I've seen before include "Demonstrate - parade" , "Demonstrate; spectacle" , "programme" , "charade" , "Exhibit - present" .)