Caught broadcast from old African city (5)
I believe the answer is:
cairo
'african city' is the definition.
(capital of Egypt)
'caught broadcast from old' is the wordplay.
'caught' becomes 'c' (cricket abbreviation).
'broadcast' becomes 'air' (to air on TV).
'from' means one lot of letters go next to another.
'old' becomes 'o' (common abbreviation eg in OE for Old English).
'c'+'air'+'o'='CAIRO'
(Other definitions for cairo that I've seen before include "Egyptian capital" , "City near the Nile delta" , "Capital city on the Nile" , "African city" , "North African capital" .)