Inspection making appearance at diocese (7)
I believe the answer is:
looksee
'inspection' is the definition.
(I have seen 'Brief inspection' mean 'looksee' so perhaps 'inspection' could also mean 'looksee')
'appearance at diocese' is the wordplay.
'appearance' becomes 'look' (look is a kind of appearance).
'at' is a charade indicator (letters next to each other).
'diocese' becomes 'see' (I've seen this in another clue).
'look'+'see'='LOOKSEE'
'making' is the link.
(Other definitions for looksee that I've seen before include "Brief inspection" , "glance" .)