One member's naughty children (4)
I believe the answer is:
imps
'naughty children' is the definition.
(I've seen this before)
'one member's' is the wordplay.
'one' becomes 'i' (Roman numeral).
'member's' becomes 'MP's' (Member of Parliament).
'i'+'mps'='IMPS'
(Other definitions for imps that I've seen before include "Naughty sprites" , "Demons" , "Mischievous characters" , "Cheeky little devils" , "Little mischievous devils" .)