Doctrine bothering aimless cur (10)
I believe the answer is:
secularism
'doctrine' is the definition.
(secularism is a kind of doctrine)
'bothering aimless cur' is the wordplay.
'bothering' indicates an anagram.
'aimless'+'cur'='aimlesscur'
'aimlesscur' is an anagram of 'SECULARISM'.
(Another definition for secularism that I've seen is " Belief in excluding religion from state functions".)
I've seen this clue in The Telegraph.
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