Shrewd having statue rebuilt (6)
I believe the answer is:
astute
'shrewd' is the definition.
(I know that shrewd can be written as astute)
'statue rebuilt' is the wordplay.
'rebuilt' is an anagram indicator.
'statue' anagrammed gives 'ASTUTE'.
'having' acts as a link.
(Other definitions for astute that I've seen before include "Discerning" , "Perspicacious" , "Peerceptive" , "Shrewd, canny" , "Able to assess (people or situations) accurately" .)