Part of time-share network (4)
I believe the answer is:
mesh
'network' is the definition.
('mesh' can be a synonym of 'network')
'part of time-share' is the wordplay.
'part of' indicates the answer is hidden within the clue.
'MESH' can be found hidden inside 'time share'.
(Other definitions for mesh that I've seen before include "Interlock" , "Network fabric - engage with it" , "Open fabric" , "Netting made of wire or thread" , "fit together" .)