Religious community chasing daily purchase (4,5)
I believe the answer is:
mail order
'purchase' is the definition.
(type of purchase)
'religious community chasing daily' is the wordplay.
'religious community' becomes 'order' (synonyms. I am not sure about the 'religious' bit.).
'chasing' means one lot of letters go next to another.
'daily' becomes 'mail' (daily UK newspaper).
'order' after 'mail' is 'MAIL-ORDER'.
Can you help me to learn more?
(Other definitions for mail order that I've seen before include "Buying by post" , "type of catalogue" , "that one's sent for?" , "Means of shopping" , "Type of purchase" .)