Way of meeting online, mostly new — once divorcee goes out to bag fellow (15)
I believe the answer is:
videoconference
'way of meeting online' is the definition.
(meeting using video)
'mostly new once divorcee goes out to bag fellow' is the wordplay.
'mostly' means to remove the last letter.
'goes out' indicates anagramming the letters.
'to bag' means one lot of letters goes inside another.
'fellow' becomes 'f' (abbreviation - of a society etc.).
'new' with its final letter taken off is 'ne'.
'ne'+'once'+'divorcee'='neoncedivorcee'
'neoncedivorcee' anagrammed gives 'videoconerence'.
'videoconerence' enclosing 'f' is 'VIDEOCONFERENCE'.
(Another definition for videoconference that I've seen is " meeting on screen".)