Quite surprisingly, this worked for me too!
I didn't even need to fully-install (i.e., activate) AutoCAD 2014.
In fact, I installed it as a trial and then I uninstalled it.
Apparently, all the flickering problems that I had (both in the Dock and in any other application like Safari) disappeared!
Also, I've to say that I started Xcode 5 for the first time after upgrading to Mavericks and it downloaded/installed some upgrades (i.e., maybe some graphics lib?!?) it required (I run Xcode while trying to fully-activate AutoCAD...).
So my final guess of this story is that an "obsolete" Xcode might be the reason of our flickering issues.
Just to give it a try, simply update Xcode *before* even trying to install AutoCAD and see what happens. If this will solve the problem then you won't even need to install AutoCAD!
Thanks to everyone 🙂