Massive embrace with head of education (4)
I believe the answer is:
huge
'massive' is the definition.
(I've seen this before)
'embrace with head of education' is the wordplay.
'embrace' becomes 'hug' (hug is a kind of embrace).
'with head of' says to take the initial letters.
The first letter of 'education' is 'e'.
'hug'+'e'='HUGE'
(Other definitions for huge that I've seen before include "Gigantic" , "giant" , "Colossal" , "Great in size or amount" , "Massive" .)