Manage to move fast (3)
I believe the answer is:
This clue is a double definition.
'manage' is the first definition.
(both can mean to organise)
'move fast' is the second definition.
(I've seen this before)
'to' is the link.
(Other definitions for run that I've seen before include "Administer" , "trip" , "Manage (eg, a company)" , "Proceed quickly" , "Take flight" .)