Division in church exists between ends of spectrum (6)
I believe the answer is:
schism
'division' is the definition.
(I know that schism is a type of division)
'church exists between ends of spectrum' is the wordplay.
'church' becomes 'ch' (common abbreviation).
'exists' becomes 'is' (if something 'is', it exists).
'between' is an insertion indicator.
'ends of' suggests removing the centre.
'spectrum' with its centre taken out is 'sm'.
'ch'+'is'='chis'
'chis' going within 'sm' is 'SCHISM'.
'in' is the link.
(Other definitions for schism that I've seen before include "Split in religious body over differences in beliefs" , "Split or heresy" , "Breach within a Chruch" , "Formal separation of a church into two churches" , "Serious split in a group" .)