Rhythm of dance organised with church (7)
I believe the answer is:
cadence
'rhythm' is the definition.
(cadence is a kind of rhythm)
'dance organised with church' is the wordplay.
'organised' indicates an anagram.
'with' says to put letters next to each other.
'church' becomes 'ce' (abbreviation for Church of England).
'dance' anagrammed gives 'caden'.
'caden'+'ce'='CADENCE'
'of' acts as a link.
(Other definitions for cadence that I've seen before include "Lilt" , "Rhythm of the voice" , "Vocal modulation or inflection" , "Close of a musical phrase" , "Rhythm or beat" .)