Indian given injection in quiet place of learning (7)
I believe the answer is:
punjabi
'indian' is the definition.
(Punjab is a state of India)
'injection in quiet place of learning' is the wordplay.
'injection' becomes 'jab' (I've seen this before).
'in' is an insertion indicator.
'quiet' becomes 'p' (music symbol for 'piano', ie soft or quiet).
'place of learning' becomes 'uni' (university).
'p'+'uni'='puni'
'jab' placed within 'puni' is 'PUNJABI'.
'given' is the link.
(Other definitions for punjabi that I've seen before include "Eastern language" , "foreign language" , "Possibly Pakistani" , "Indian language" , "Asian language" .)