Entertainment centre just by stadium (10)
I believe the answer is:
fairground
'entertainment centre' is the definition.
(I've seen this before)
'just by stadium' is the wordplay.
'just' becomes 'fair' (just can mean fair in the sense of showing justice).
'by' means one lot of letters go next to another.
'stadium' becomes 'ground' (eg a football ground).
'fair'+'ground'='FAIRGROUND'
(Other definitions for fairground that I've seen before include "good enough for entertainment" , "that holds attractions" , "rides here" , "Entertainment venue" , "Where one plays" .)