Initially heard in New Delhi, Indian language (5)
I believe the answer is:
hindi
'language' is the definition.
(Hindi is an example)
'initially heard in new delhi indian' is the wordplay.
'initially' says to take the initial letters.
The first letters of 'heard in new delhi indian' is 'HINDI'.
(Other definitions for hindi that I've seen before include "Ind. Language" , "An official language of India" , "It's spoken abroad" , "Language derived from Sanskrit" , "Indian language" .)