Brazil perhaps has old king beheaded (3)
I believe the answer is:
nut
'brazil perhaps' is the definition.
(brazil is a kind of nut)
'old king beheaded' is the wordplay.
'old king' becomes 'cnut' (King Cnut).
'beheaded' means to remove the first letter.
'cnut' with its initial letter removed is 'NUT'.
'has' is the link.
(Other definitions for nut that I've seen before include "keen admirer" , "Hard fruit or informal lunatic" , "Fruitcake" , "Lover < or partner to bolt f" , "Fanatic (slang)" .)