Name within torn off trinket (8)
I believe the answer is:
ornament
'trinket' is the definition.
(I've seen this before)
'name within torn off' is the wordplay.
'within' means one lot of letters goes inside another.
'off' indicates anagramming the letters.
'torn' anagrammed gives 'ornt'.
'name' going inside 'ornt' is 'ORNAMENT'.
(Other definitions for ornament that I've seen before include "Decoration, adornment" , "deck" , "It's used to adorn" , "composers can provide in a shake" , "Turn" .)