Thrash metal involving right band (6)
I believe the answer is:
armlet
'band' is the definition.
(armlet is a kind of band)
'thrash metal involving right' is the wordplay.
'thrash' is an anagram indicator (I've seen this in other clues).
'involving' indicates putting letters inside.
'right' becomes 'r' (common abbreviation).
'metal' with letters rearranged gives 'amlet'.
'amlet' enclosing 'r' is 'ARMLET'.
(Other definitions for armlet that I've seen before include "Elm rat (anag)" , "Band on limb" , "Band for wearing" , "branch" , "Type of bracelet" .)