Naughty child learning to beg (7)
I believe the answer is:
implore
'to beg' is the definition.
(synonyms)
'naughty child learning' is the wordplay.
'naughty child' becomes 'imp' (informal term for a misbehaving child).
'learning' becomes 'lore' (both can mean tradition or knowledge).
'imp'+'lore'='IMPLORE'
(Other definitions for implore that I've seen before include "Beg earnestly, beseech" , "Beg earnestly, entreat" , "press" , "Beg earnestly, plead" , "More lip (anag)" .)