Do well to restore order (5,2)
I believe the answer is:
clean up
'order' is the definition.
(I know that clean up is a more specific form of the action order)
I don't understand how the rest of the clue works.
Can you help me to learn more?
(Other definitions for clean up that I've seen before include "Win the lot; remove dirt" , "Put in order - gain financially" , "free of filth" , "Win everything!" , "Make a bundle" .)