Churchman going after power? That’s right! (8)
I believe the answer is:
accurate
'right' is the definition.
(similar in meaning)
'churchman going after power?' is the wordplay.
'churchman' becomes 'curate' (I've seen this before).
'going after' is a charade indicator (letters next to each other).
'power?' becomes 'AC' (AC is an example).
'curate' after 'ac' is 'ACCURATE'.
'that's' is the link.
(Other definitions for accurate that I've seen before include "Exactly right" , "not deviating from the truth?" , "carefully and precisely" , "Careful, precise" , "telling it like it is" .)