Indicate approval of a Parish Priest and Archbishop (7)
I believe the answer is:
applaud
'indicate approval' is the definition.
(applause shows approval)
'a parish priest and archbishop' is the wordplay.
'parish priest' becomes 'pp' (abbreviation for parish priest).
'and' says to put letters next to each other.
'archbishop' becomes 'laud' (Archbishop of Canterbury William Laud).
'a'+'pp'+'laud'='APPLAUD'
'of' acts as a link.
(Other definitions for applaud that I've seen before include "Cheer" , "Reward for performance" , "Clap; praise" , "Show appreciation towards" , "Show acclaim" .)