Ok, no wear lines anywhere that I can see. I shone a flashlight down starting from the sprocket and followed the chain through the flywheels and out. The chain does not rub against anything so far as I can tell.
The skipping is usually a one or two skip where it seems something has not caught and it occurs only when you're really putting some pedal to the metal.
And I can't budge the tensioner. It's rock solid from the left, the two holes, the nut or bolt, down to the wire. The only part that can be moved is the hanger with the lowest flywheel. Even then, pushing upwards to move the hanger you are in danger of tipping over the whole bike.