Make an excellent start and do even better (5)
I believe the answer is:
excel
'better' is the definition.
(excel can mean to better or beat)
I don't understand how the rest of the clue works.
Can you help me to learn more?
(Other definitions for excel that I've seen before include "Be very good at, better than others" , "Be the best" , "Every one" , "Do particularly well" , "Do superbly well" .)