Throw out injured member’s supporter (5)
I believe the answer is:
sling
This could be a double definition.
'throw out injured member's' is the first definition.
'sling' can be an answer for 'throw' (chuck means throw as does sling). I am not certain of the 'out injured member's' bit.
'supporter' is the second definition.
(a sling supports an injured arm)
Can you help me to learn more?
(Other definitions for sling that I've seen before include "Keeping afloat" , "attached to a rifle, perhaps" , "Catapult or support as for injured arm" , "Injured-arm support" , "Arm support; hurl" .)