Writer who could make me snore (7)
I believe the answer is:
emerson
'writer' is the definition.
(I've seen this before)
'make me snore' is the wordplay.
'make' indicates an anagram.
'me'+'snore'='mesnore'
'mesnore' with letters rearranged gives 'EMERSON'.
'who could' acts as a link.
(Other definitions for emerson that I've seen before include "Ralph Waldo --, US author" , "American writer, 1803-82" , "American poet and philosopher, d. 1882" , "--, Lake and Palmer, rock group" , "American author, 1803-82" .)