This is what the Oldham coupler displacement compensation looks like in action.
http://www.youtube.com/attribution_link?a=FONM33QPSYM&u=/watch?v%3D08WQxpkgdAk%26feature%3Dshare
If I might make a suggestion, and ignore if it doesn’t apply: It looks to me like the screw is above the coupler and the motor shaft is below. It seems to me that you would want to have a fixed bearing/frame of sorts through which the screw passes on its way to the coupler. That would tend to stabilize it more and the coupler might not have to compensate as much. It might also tend to increase your accuracy of prints.
In my CNC router project (which isn’t finished yet), from the screw side, it is held against a frame by a thruster bearing on one side and uses a threaded collar on the other side. With the threaded collar, the idea is that I can minimize the range of linear motion. After the threaded collar, the screw shaft then is held by the coupler and motor shaft. The thrust bearing/threaded collar is basically an idea I copied from my lathe, it seemed to make sense. Anyway, I can’t see enough in the pictures to know if this applies to your situation, but I thought I would mention it.
Thanks @Don_Smiley , I should be more clear about what is depicted. This is after installing thrust bearings at the top of the lead screws, so the gantry is essentially hanging and the Oldham couplers are only providing rotation.
Got it. Thanks.