Answer bugs Professor Roberts for example (5)
I believe the answer is:
alice
'professor roberts for example' is the definition.
(anthropologist Professor Alice Roberts)
'answer bugs' is the wordplay.
'answer' becomes 'a' (abbreviation eg in Q and A).
'bugs' becomes 'lice' (plural of louse).
'a'+'lice'='ALICE'
(Other definitions for alice that I've seen before include "Girl in literary Wonderland" , "Carroll heroine" , "woman" , "Carrol's heroine" , "... Walker, ... Munroe (writers)" .)