Greek character in short time creates shrine (8)
I believe the answer is:
monument
'shrine' is the definition.
(thesaurus)
'greek character in short time' is the wordplay.
'greek character' becomes 'nu' (letter from the Greek alphabet).
'in' means one lot of letters goes inside another.
'short time' becomes 'moment' (moment is a kind of short time).
'nu' placed within 'moment' is 'MONUMENT'.
'creates' acts as a link.
(Other definitions for monument that I've seen before include "Could be column" , "Lasting record" , "Commemorative statue, building etc." , "Memorial structure" , "Commemorative structure" .)