Put it down to some characteristic you possess (9)
I believe the answer is:
attribute
'put' is the definition.
(thesaurus)
I don't understand how the rest of the clue works.
Can you help me to learn more?
(Other definitions for attribute that I've seen before include "Ascribe (to a cause)" , "Quality characteristic of person or thing" , "Quality representative of person" , "Character" , "Quality, feature" .)