Surpass, eclipse (5)
I believe the answer is:
outdo
I believe this clue is a double definition.
'surpass' is the first definition.
(I know that surpass can be written as outdo)
'eclipse' is the second definition.
(I've seen this before)
(Other definitions for outdo that I've seen before include "Surpass, go one better than" , "Cap" , "Br superior to (someone)" , "Defeat" , "Get the better of" .)