I went with Resource, and I was told about 6 weeks at the moment. This was a couple of weeks back. I was included in the email that went to the CAA. Have to say as well that they were great throughout.
For anybody seeking CAA Permission in the UK I thought I'd just let you know that I've received mine within two weeks of applying, so it looks like they're now getting on top of things. I did the BNUC-S course with EuroUSC and overall it took just under three months as follows:
April 20/21 Theory course
May 11 Submitted Op's Manual for Review
May 22 Manual reviewed (1)
May 24 Submitted amendments
May 27 Manual reviewed (2)
June 23 Flight Examination (my choice of date but could have been two weeks sooner)
July 1 Submitted application for CAA Permission
July 16 Permission granted
A few weeks of this were down to me so if you're an experienced pilot and get stuck into writing the Op's Manual you can reduce this time by maybe three or even four weeks. I must say that I found EuroUSC very helpful throughout and the flight examiner took a very pragmatic approach so I have no complaints.
Also, I was able to do the flight examination with hobby insurance that costs very little (fpvuk.org) and gives you £5m public liability cover. On the advice of EuroUSC when I completed my CAA application they suggested I could make a statement on the form to the effect that my insurance would be upgraded to a commercial policy before I undertook any work. Seems that this was OK.
Hope this is helpful.