Make someone do you a favour (6)
I believe the answer is:
oblige
'make' is the definition.
(as in being obliged to do something)
I don't understand the remainder of the clue.
Can you help me to learn more?
(Other definitions for oblige that I've seen before include "Compel (someone to do something)" , "serve" , "Compel, bind" , "Constrain" , "Hold in debt" .)