A speaker’s right to applaud (7)
I believe the answer is:
acclaim
'to applaud' is the definition.
('acclaim' can be a synonym of 'applaud')
'a speaker's right' is the wordplay.
'a speaker's' becomes 'ac' (I can't explain this - if you can you should give a lot more credence to this answer).
'right' becomes 'claim' (claim is a kind of right).
'ac'+'claim'='ACCLAIM'
Can you help me to learn more?
(Other definitions for acclaim that I've seen before include "Plaudits" , "Welcome with shouts of applause" , "Credit" , "Enthusiastic approval" , "Great public praise" .)