Beg little devil to get learning (7)
I believe the answer is:
implore
'beg' is the definition.
(synonyms)
'little devil to get learning' is the wordplay.
'little devil' becomes 'imp' (I've seen this before).
'to get' means one lot of letters go next to another.
'learning' becomes 'lore' (I've seen this before).
'imp'+'lore'='IMPLORE'
(Other definitions for implore that I've seen before include "press" , "Beg earnestly, plead" , "More lip (anag)" , "Ask earnestly" , "Beg earnestly, beseech" .)