Not having a tot or two riled chef up (5-4)
I believe the answer is:
child-free
'not having a tot or two' is the definition.
(tot can mean a young child)
'riled chef up' is the wordplay.
'up' is an anagram indicator (letters get chucked up).
'riled'+'chef'='riledchef'
'riledchef' with letters rearranged gives 'CHILD-FREE'.
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