A quick look at the forums reveals that this is a common question/concern (waiting-time-for-eea2-t11940.html). The border agency does supply info on processing times at : http://www.ukba.homeoffice.gov.uk/visas ... ing-times/

I would recommend going to the site and entering your info. For other info about being an expat in the UK, be sure to check out the Guide to London. Please check back in and let us know how your application goes. Best of luck!