Let me write up some better directions!
1) Download MSI Afterburner. It doesn't matter if you have an MSI product or AMD/Nvidia. http://event.msi.com/vga/afterburner/download.htm
2) Install Afterburner, but don't run it. We don't care about Afterburner itself. We care about a utility that comes bundled with it.
3) Find you Afterburner install folder. Inside of that is a Bundle folder, then OSDServer. For me this is here: C:\Program Files (x86)\MSI Afterburner\Bundle\OSDServer
4) Find RTSSWrapper.exe iside this folder. Create a shortcut to that, and stick it on your Desktop or Quicklaunch bar.
5) Run this RTSSWrapper. Turn Start With Windows to On. Show OSD to Off. Hit the Wrench icon to go to settings. Check Start Minimized. Find the Framerate Limit option on first settings page and set it to 60.
6) (Optional) Minimize the program. You should have a little Dove icon in your System Tray with a purple 60 on it.
7) Run Skyrim. Notice how the nasty Radeon judder is now gone. Yay! I find the easiest way to tell the difference is to look at a sharply lit item and slowly pan left and right. With the 60fps limiter the motion is smooth. Without the limiter the item seems to jump in it's panning with more common stalls.
My best guess is that Skyrim renders frames as quickly as it can, regardless off your Vsync settings. So even though you are set to vsync 60hz, it tries to render more frames anyway. Then, still guessing based on it's performance, it just throws away any extra frames that it rendered.
Assume for a minute that you are running 100fps, or frames take 10ms to render. Normally a 60hz game will start a new frame render at a smooth cadence of 0ms, 16ms, 33ms, 50ms, 67ms, 83ms, 100ms, etc. The 6ms between the 10ms render time and the 16ms display time is spent waiting. Skyrim's behavior implies that it will show you rendered frames that started rendering at the earliest possible time resulting in a weird cadence. In example frames will render at 0ms, 10ms, 20ms, 30ms, etc. The 10ms increments and 16ms increments don't match up though, so you see the frames from timestamp 0ms, 10ms, 30ms, 50ms, 60ms, 80ms, 100ms. Note the weird jump between 10ms and 20ms delays between frames instead of a constant smooth 16ms. The result is 60fps gameplay that feels like every third frame is dropped.
We can only hope that Bethesda bought id so that they'll finally have a good engine to build on.