Proof checker; lecturer (6)
I believe the answer is:
reader
This clue is a double definition.
'proof checker' is the first definition.
(I've seen this before)
'lecturer' is the second definition.
(I know that lecturer can be written as reader)
(Other definitions for reader that I've seen before include "He's immersed in a book or newspaper" , "University lecturer; book of educational extracts" , "Reared by book lover" , "(User of) standard textbook" , "Peruser of text" .)