Law a yob broke outside university city in Africa (8)
I believe the answer is:
bulawayo
'city in africa' is the definition.
(second largest city in Zimbabwe)
'law a yob broke outside university' is the wordplay.
'broke' indicates anagramming the letters.
'outside' is an insertion indicator.
'university' becomes 'u'.
'law'+'a'+'yob'='lawayob'
'lawayob' is an anagram of 'blawayo'.
'blawayo' enclosing 'u' is 'BULAWAYO'.
(Other definitions for bulawayo that I've seen before include "African city" , "Industrial city of Zimbabwe" .)