Hi Kevin,
I have a Windows 8 image running in Virtual Box and I am able to connect to BigIP 11.2.1 HF-3 with the latest installed Chrome version. I have to add the extension in chrome but it loads the components just fine. I do have an issue when launching a network access tunnel but I believe the issue is with virtual box not Windows 8 as we have people using windows 8 on our environements.
Does I.E. load the components just fine? You might also want to check UAC... maybe you could run your browser "as administrator" and see if you have any better luck.
Seth