Run to quite different bandage (10)
I believe the answer is:
tourniquet
'bandage' is the definition.
(tourniquet is a kind of bandage)
'run to quite different' is the wordplay.
'different' is an anagram indicator (letters placed in a different order).
'run'+'to'+'quite'='runtoquite'
'runtoquite' is an anagram of 'TOURNIQUET'.
(Other definitions for tourniquet that I've seen before include "Medical device" , "Appliance used to stop bleeding" , "bleeding controller!" , "Compression bandage" , "Blood-staunching compressor" .)