Indian language adopted by Singapore’s party (7)
I believe the answer is:
shindig
'party' is the definition.
(shindig is a kind of party)
'indian language adopted by singapore's' is the wordplay.
'indian language' becomes 'hindi' (I've seen this before).
'adopted by' is an insertion indicator (I've seen this in other clues).
'singapore's' becomes 'sg' (I can't explain this - if you can you should give a lot more credence to this answer).
'hindi' placed inside 'sg' is 'SHINDIG'.
Can you help me to learn more?
(Other definitions for shindig that I've seen before include "Large and noisy party or quarrel" , "commotion" , "Hooley" , "Noisy disturbance" , "wild party" .)