Writer of essays about jump cut (4,4)
I believe the answer is:
lamb chop
'cut' is the definition.
(I have seen 'Cut of meat' mean 'lamb chop' so perhaps 'cut' could also mean 'lamb chop')
'writer of essays about jump' is the wordplay.
'writer of essays' becomes 'lamb' (I've seen this before).
'about' becomes 'c' (abbreviation for 'circa').
'jump' becomes 'hop' (hopping is a kind of jumping).
'lamb'+'c'+'hop'='LAMB CHOP'
(Other definitions for lamb chop that I've seen before include "Slice including a rib, served with mint sauce?" , "Something to eat" , "Cut of meat used to make a guard of honour" , "Cut of meat from a sheep" , "Slice of meat" .)