Operate election involving the Church? That’s where things will come home to roost (8)
I believe the answer is:
dovecote
'roost' is the definition.
(thesaurus)
'operate election involving the church? that's where things will come home' is the wordplay.
I cannot quite see how this works, but
'the' could be 't' (the is pronounced as a 't' sound in some dialects) and 't' is found within the answer.
'come' could be 'do' (synonyms) and 'do' is present in the answer.
This explanation may well be incorrect...
'to' is the link.
Can you help me to learn more?
(Other definitions for dovecote that I've seen before include "Shelter for domesticated pigeons" , "Domestic bird shelter" , "Home for domesticated pigeons" .)