Picked up a botttom-of-the-line unit, quite a lot of slop side to side, of the blade. Discovered that the arm is pivoted at the rear of the saw, with roughly 1/4 inch stub shafts in brass/bronze bushes. Turned the bushes 90 degrees which improved it greatly, but it strikes me that this is a pretty crappy arrangement and subject to early deterioration.
Suggestions for other materials or arrangements? What do the Hegners of this world use? / mark