New chair isn’t a religious person (9)
I believe the answer is:
christian
'a religious person' is the definition.
(Christian is an example)
'new chair isn't' is the wordplay.
'new' indicates anagramming the letters.
'chair'+'isnt'='chairisnt'
'chairisnt' with letters rearranged gives 'CHRISTIAN'.
(Other definitions for christian that I've seen before include "Can rich saint be in universal church?" , "Rich saint becomes member of church" , "One follows the teachings of Jesus Christ" , "Eg, an Anglican" .)