Rhythm really oddly unspiritual (8)
I believe the answer is:
temporal
'unspiritual' is the definition.
(thesaurus)
'rhythm really oddly' is the wordplay.
'rhythm' becomes 'tempo' (I've seen this before).
'oddly' indicates alternate letters.
The alternating letters of 'really' are 'ral'.
'tempo'+'ral'='TEMPORAL'
(Other definitions for temporal that I've seen before include "Relating to time" , "profane" , "Passing" , "Not eternal" , "Secular; of the temples" .)