Eager to run off and consent (5)
I believe the answer is:
agree
'consent' is the definition.
(I know that agree is a more specific form of consent)
'eager to run' is the wordplay.
'to run' is an anagram indicator.
'eager' with letters rearranged gives 'AGREE'.
'off and' is the link.
I am not very happy about this link. Some or all of it may belong to another bit of the clue.
Can you help me to learn more?
(Other definitions for agree that I've seen before include "Shake on it" , "Accept" , "Be of one mind" , "Arrive at a settlement" , "Have the same idea" .)