Health worker has graduate torn apart (6)
I believe the answer is:
matron
'health worker' is the definition.
'graduate torn apart' is the wordplay.
'graduate' becomes 'ma' (abbreviation for Master of Arts).
'apart' indicates anagramming the letters.
'torn' anagrammed gives 'tron'.
'ma'+'tron'='MATRON'
'has' is the link.
(Other definitions for matron that I've seen before include "Head of nursing" , "Medical supervisor" , "Woman in charge of nurses" , "Former title of today's Senior Nursing Officer" , "Nurses' manager" .)