Man sent tweet spinning religious writing (3,9)
I believe the answer is:
new testament
'religious writing' is the definition.
(New Testament is an example)
'man sent tweet spinning' is the wordplay.
'spinning' indicates an anagram.
'man'+'sent'+'tweet'='mansenttweet'
'mansenttweet' is an anagram of 'NEW TESTAMENT'.
(Other definitions for new testament that I've seen before include "Canon" , "Sacred books" , "Will's later amendment" , "Second part of the Bible" , "Holy Writ" .)