OS: Icecream Sandwich(4.0.2)
The widget for the Authenticator is not updating automatically, it only shows the last code produced while the app was open.
I see this as an issue becuse it makes the widget completely useless, I realize that this could be an API change/bug in icecream sandwich, or it could be that the OS doesn't support the active updating of widgets because the sheer amount of updating the widget that many times a day would be a severe drain on the phone's battery.
so my suggestion is quite the simple one, enable an option for people to check to actively update there widget, or change the widget itself to enable passive updating when a refresh button is pressed on the widget itself.
and if it's a bug... send out an update with the fix :-P