Precision in current clergyman's office (8)
I believe the answer is:
accuracy
'precision' is the definition.
(I've seen this before)
'current clergyman's office' is the wordplay.
'current' becomes 'ac' (alternating current).
'clergyman's office' becomes 'curacy' (I've seen this before).
'ac'+'curacy'='ACCURACY'
'in' is the link.
(Other definitions for accuracy that I've seen before include "precise" , "fidelity" , "faithfulness" , "Correctness, precision" , "Correctness, nearness to truth" .)