Some paper money of distinction? (4)
I believe the answer is:
note
I believe this clue is a double definition.
'some paper money' is the first definition.
(note is a kind of paper money)
'distinction?' is the second definition.
('note' can be a synonym of 'distinction')
'of' acts as a link.
(Other definitions for note that I've seen before include "Be mindful of" , "Short written message" , "Tone of distinction" , "Quaver, say" , "Bill" .)