Spoilt, naughty child shown on TV (8)
I believe the answer is:
impaired
'spoilt' is the definition.
('impair' can be a synonym of 'spoil')
'naughty child shown on tv' is the wordplay.
'naughty child' becomes 'imp' (informal term for a misbehaving child).
'shown on tv' becomes 'aired' (to air is to be broadcast on TV).
'imp'+'aired'='IMPAIRED'
(Other definitions for impaired that I've seen before include "Caused weakening, damaged" , "handicapped" , "Faulty" , "Damaged, marred" , "casued damage" .)