Catholic has strange, eccentric source of money (8)
I believe the answer is:
cashcard
'source of money' is the definition.
(I've seen this before)
'catholic has strange eccentric' is the wordplay.
'catholic' becomes 'C' (abbreviation as in RC for Roman Catholic).
'strange' indicates an anagram.
'eccentric' becomes 'card' (card can mean an eccentric person).
'has' anagrammed gives 'ash'.
'c'+'ash'+'card'='CASHCARD'
(Other definitions for cashcard that I've seen before include "source of money" , "Kind of plastic?" .)