It's like I said about the motor mounting plate...............While your swingarm does jump up/down a little while the chain is skipping teeth, it's still like Pancho said about the engine and swingarm moving in unison, that ain't it.
In the rear shots of the acceleration, you can see plain as day the motor mounting plate flexing up/down like a flag flapping in the wind. That's loosening the chain as torque pulls down on the flexible mounting plate, then the chain skips teeth, giving the plate a moment to flex back up, then the process repeats. A few times per second.
Momentum of the 40 lb. motor jouncing up/down is jerking on the swingarm, making it have the up/down motion as a secondary effect of the motor already in motion. (1): Plate flexes down, taking motor with it. (2): Chain skips, releasing tension on chain. (3): Plate and motor flexes back up, retightening the chain. (4): Sudden stop of motor upward motion (chain retightening) yanks up on the swingarm, making it hop up/down a little also. Lather, rinse, repeat.
When it happened to me on my 17" long by about 6" wide plate, I spliced on (2 pieces because of chain proximity) underneath on the chain side some 1/2" angle iron, welded every couple of inches. Not good enough to stop the flexing. Eventually had to wedge in crossways a removeable piece of 1" angle iron that basically shortened the mounting plate's flexing portion to about 10" instead of 17".
That fixed it. Now the 15+ hp. motor no longer flexes the plate, so the tooth-skipping of the chain is cured completely.