Support ruling's reasoning (10)
I believe the answer is:
brainpower
'reasoning' is the definition.
'support ruling's' is the wordplay.
'support' becomes 'bra' (a support for the breasts).
'ruling' becomes 'inpower' (eg a ruling party is in power).
'bra'+'inpower'='BRAINPOWER'
(Another definition for brainpower that I've seen is " intelligence".)
I've seen this clue in The Telegraph.
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