There's no real description of the test setup or measurement techniques. I'm going to abstain from further comments before I see this in some peer reviewed publication.
However, some key questions that come into my mind:
-How does the effect change when scaled up or down? Inverse square of distance? Something different? It's already known that general relativity doesn't exactly produce 1:1 results matching reality when the scale gets so small that quantum phenomena start to dominate, and possibly also when you're dealing with galactic and intergalactic scales of distances. Dark matter assumption relies almost completely on the assumption that general relativity produces reliable predictions at large scales at which the anomalies are observed in stars orbiting galaxies.
-Any relation to Pioneer anomaly (which, if interpreted as accurate, would actually be the first test to prove numerical inaccuracy in predictions given by General Relativity)?
-Does the spinning increase the disk's inertial mass? Is this change (kinetic mass) significantly larger or smaller than the allegedly observed change in gravitational mass?
No matter what the outcome of this will be, it's always exciting to see some new research stir up the established scientific facts. Personally I damn well hope that this'll lead to better understanding of gravity and who knows, maybe even gravitic technology? After all, some of the declarations based on General Relativity are rather depressing, like the complete disallowance of superluminal speeds...