A keeness to get the advantage (4)
I believe the answer is:
edge
'advantage' is the definition.
(I've seen this before)
I can't explain the remainder of the clue.
Can you help me to learn more?
(Other definitions for edge that I've seen before include "Sharp ridge" , "Steal" , "'Margin, rim (4)'" , "Some bordering" , "The part farthest from the middle" .)