Big squeeze at the end (4)
I believe the answer is:
huge
'big' is the definition.
('huge' can be similar in meaning to 'big')
'squeeze at the end' is the wordplay.
'squeeze' becomes 'hug' ('hug' can be a synonym of 'squeeze').
'at' says to put letters next to each other.
'end' says to take the final letters.
The last letter of 'the' is 'e'.
'hug'+'e'='HUGE'
(Other definitions for huge that I've seen before include "Gigantic" , "Mammoth" , "Massive" , "Jumbo" , "Colossal" .)