As I understand it, because of this - "Order made under Contempt of Court Act 1981" - no reporting of the case is allowed while it is in progress. Again, as I understand it, it has not reached the trial stage yet, if indeed it ever will. However, there are some things we can view to make some sense of how things are progressing. For example looking at this link
http://www.courtserve.net/courtlists/current/crown/sthwk_T130124.01.htm,
under Court 3 we can see today, Thursday, 24th January, the following information : sitting at 10:00 AM BEFORE THE HONOURABLE MR JUSTICE SWEENEY (2) For Mention T20127076 HUHNE Christopher PRYCE Vasiliki
Order made under Contempt of Court Act 1981.
Likewise at this link
http://xhibit.justice.gov.uk/xhibit/southwark.htm we can see the following information:Court 3 T20127076 CHRISTOPHER HUHNE
VASILIKI PRYCE For Mention - Hearing finished for VASILIKI PRYCE - 16:30
This I think confirms to us that today things were still at the Hearing stage.
And lastly, for now, this link
http://www.courtserve.net/courtlists/current/crown/sthwk_T130125.01.htm
- Court 3 COURT NOT SITTING - shows us that tomorrow, Friday, 25th January,
Court 3 is not sitting - so it sounds like there is the possibility that nothing is happening tomorrow. I hope this helps!