Construct, put up (5)
I believe the answer is:
erect
I believe this clue is a double definition.
'construct' is the first definition.
(erecting is a kind of constructing)
'put up' is the second definition.
(synonyms)
(Other definitions for erect that I've seen before include "Crete (anag)" , "Unbowed" , "Assemble" , "Build - straight up" , "Standing straight" .)