Latter-day Church in split (6)
I believe the answer is:
recent
'latter-day' is the definition.
(I've seen this before)
'church in split' is the wordplay.
'church' becomes 'ce' (abbreviation for Church of England).
'in' is an insertion indicator.
'split' becomes 'rent' ('rent' can be a synonym of 'split'**).
'ce' placed within 'rent' is 'RECENT'.
(Other definitions for recent that I've seen before include "Up-to-date" , "Fresh, modern" , "Just previous" , "Not long ago, in the immediate past" , "Fresh - current" .)