Name torn off trinket (8)
I believe the answer is:
ornament
'trinket' is the definition.
(I've seen this before)
'name torn off' is the wordplay.
'off' indicates an anagram.
'name'+'torn'='nametorn'
'nametorn' anagrammed gives 'ORNAMENT'.
(Other definitions for ornament that I've seen before include "to dress up" , "small decorative object" , "trill?" , "Decorative item" , "It's used to adorn" .)