Stiff paper; odd person (4)
I believe the answer is:
card
I believe this clue is a double definition.
'stiff paper' is the first definition.
(I've seen this before)
'odd person' is the second definition.
(Other definitions for card that I've seen before include "What may be used for greeting" , "eccentric character" , "One taken in hand" , "appears in a suit" , "Heart or club, say?" .)