Woman is following - this writer networks (6)
I believe the answer is:
meshes
'networks' is the definition.
('mesh' can be a synonym of 'network')
'woman is following this writer' is the wordplay.
'woman' becomes 'shes' (I can't explain this - if you can you should believe this answer much more).
'is following' says to put letters next to each other.
'this writer' becomes 'me' (the setter of the puzzle is the writer of the clue).
'shes' put after 'me' is 'MESHES'.
Can you help me to learn more?
(Other definitions for meshes that I've seen before include "Engages with others - using nets?" , "Becomes entangled or fits together" , "gets engaged" , "Fits into, intertwines" , "Interlockings, nets" .)