PC World's opening — consent to having electronic support (4)
I believe the answer is:
woke
'pc' is the definition.
('woke' roughly means 'politically correct')
'world's opening consent to having electronic support' is the wordplay.
'opening' indicates taking the first letters.
'consent to' becomes 'ok' (to OK something is to approve or consent to it).
'having' says to put letters next to each other.
'electronic' becomes 'e' (as in e-mail or e-books).
'support' means one lot of letters go next to another (in a down clue, some letters hold others up).
The initial letter of 'worlds' is 'w'.
'w'+'ok'+'e'='WOKE'
(Other definitions for woke that I've seen before include "Came to" , "Stopped sleeping" , "Ceased to sleep" , "Roused from sleep" .)