Statue is demolished — shrewd! (6)
I believe the answer is:
astute
'shrewd' is the definition.
(synonyms)
'statue is demolished' is the wordplay.
'is demolished' indicates anagramming the letters.
'statue' anagrammed gives 'ASTUTE'.
(Other definitions for astute that I've seen before include "Statue (anag)" , "on the ball" , "Perspicacious" , "Clever and canny" , "Sharp and clever" .)