Will's incorrect statement (9)
I believe the answer is:
testament
'will's' is the definition.
(synonyms)
'incorrect statement' is the wordplay.
'incorrect' is an anagram indicator.
'statement' is an anagram of 'TESTAMENT'.
(Other definitions for testament that I've seen before include "evidence" , "(Person's) will" , "Statement (anag.)" , "Either of the two main divisions of the Bible" , "it could be old or new" .)