Adult raced around gallery (6)
I believe the answer is:
arcade
'gallery' is the definition.
(thesaurus)
'adult raced around' is the wordplay.
'adult' becomes 'a'.
'around' indicates anagramming the letters.
'raced' with letters rearranged gives 'rcade'.
'a'+'rcade'='ARCADE'
(Other definitions for arcade that I've seen before include "Covered passage containing shops" , "Here one may find shops" , "Covered passageway with shops and stalls" , "games area?" , "Lots of games" .)