Name: Hilary, for example (4)
I believe the answer is:
term
I believe this clue is a double definition.
'name' is the first definition.
(I've seen this in other clues)
'hilary for example' is the second definition.
(Hilary term is a term at some universities)
(Other definitions for term that I've seen before include "Through which something has got to last" , "Scholastic period" , "Time in jail" , "Spell - word" , "Limit - school time" .)