Perhaps part of shopping centre could be a huge success without pub (6)
I believe the answer is:
atrium
'perhaps part of shopping centre' is the definition.
'a huge success without pub' is the wordplay.
'huge success' becomes 'triumph'.
'without' indicates named letters should be taken away.
'pub' becomes 'ph' (public house).
'triumph' with 'ph' taken away is 'trium'.
'a'+'trium'='ATRIUM'
'could be' is the link.
(Other definitions for atrium that I've seen before include "Roman courtyard" , "Roofed courtyard" , "Central court of ancient Roman house" , "Central hall or court" , "Um, I rat on the chamber of the heart" .)