Fairy stories produced by press (7)
I believe the answer is:
implore
'press' is the definition.
(I've seen this before)
'fairy stories produced by' is the wordplay.
'fairy' becomes 'imp' (imp is a kind of fairy).
'stories' becomes 'lore' (I've seen this in other clues**).
'produced by' means one lot of letters go next to another.
'imp'+'lore'='IMPLORE'
(Other definitions for implore that I've seen before include "Beg earnestly, plead" , "Ask earnestly" , "Beg desperately" , "Beg earnestly, beseech" , "Beg earnestly, entreat" .)