If you want stiffening, have a couple! (5)
I believe the answer is:
brace
'a couple' is the definition.
(brace can mean a pair of something)
I don't understand the remainder of the clue.
Can you help me to learn more?
(Other definitions for brace that I've seen before include "prepare for impact" , "Pair - wood-boring tool" , "hand tool" , "Pair - strut" , "double" .)