A tissue of lies divides the church (5)
I believe the answer is:
aisle
'divides the church' is the definition.
I can't judge whether this defines the answer.
'a tissue of lies' is the wordplay.
'tissue of' is an anagram indicator (a tissue can mean a tangle or mess of material).
'lies' anagrammed gives 'isle'.
'a'+'isle'='AISLE'
Can you help me to learn more?
(Other definitions for aisle that I've seen before include "Passageway in theatre" , "way to the altar?" , "Here comes the bride" , "Division of the nave in church" , "Way between seat blocks" .)