Accessible university in East End district (7)
I believe the answer is:
popular
'accessible' is the definition.
(thesaurus)
'university in east end district' is the wordplay.
'university' becomes 'u'.
'in' indicates putting letters inside.
'east end district' becomes 'poplar'.
'u' going into 'poplar' is 'POPULAR'.
(Other definitions for popular that I've seen before include "appealing to the public" , "Widely liked" , "The people's" , "Fashionable" , "In demand" .)