Minister’s history uncovered more? (6)
I believe the answer is:
pastor
'minister's' is the definition.
(synonyms)
'history uncovered more?' is the wordplay.
'history' becomes 'past' (I've seen this before).
'uncovered' indicates the central letters.
The middle of 'more' is 'or'.
'past'+'or'='PASTOR'
(Other definitions for pastor that I've seen before include "Christian minister" , "who may provide a service" , "To spar with clergyman" , "Old shepherd" , "Padre perhaps" .)