Burrowing rodent in short programme, broadcast internally around India (7,3)
I believe the answer is:
prairie dog
'burrowing rodent' is the definition.
'in short programme broadcast internally around india' is the wordplay.
'in' is an insertion indicator.
'short programme' becomes 'prog' (abbreviation of programme).
'broadcast internally' becomes 'aired' ('aired' can be a synonym of 'broadcast'. I am not sure about the 'internally' bit.**).
'around' indicates putting letters inside.
'india' becomes 'i' (phonetic alphabet: alpha, bravo, charlie etc.).
'aired' going around 'i' is 'airied'.
'prog' enclosing 'airied' is 'PRAIRIE-DOG'.
Can you help me to learn more?
(Other definitions for prairie dog that I've seen before include "Underground community member" , "Rodent" , "Animal" , "A ground squirrel" , "North American burrowing mammal" .)