A stubborn beast, Middle Eastern, with charm (6)
I believe the answer is:
amulet
'charm' is the definition.
(synonyms)
'a stubborn beast middle eastern' is the wordplay.
'stubborn beast' becomes 'mule' (I've seen this before).
'middle' indicates the central letters.
The centre of 'eastern' is 't'.
'a'+'mule'+'t'='AMULET'
'with' acts as a link.
(Other definitions for amulet that I've seen before include "Piece of jewelry thought to be a protection against evil" , "Thing worn as charm against evil" , "Ornament worn as a charm against evil" , "Lucky ornament" , "Small item of jewellery" .)