Tumbling problems...
The only dust problem I've encountered is with corncob medium I bought from a feed store. BOY was it dirty!!! I'll be tilling most of the 50# into my garden.
My tumbler runs on my wooden workbench in the basement. At first I was worried that it'd "walk" to the edge of the bench and fall off, so I made a fence and clamped that to the bench. No problems.
(And BTW, no problems with excessive heat, or noise, either. From upstairs you can hear that the tumbler is going, but it's hardly a nuisance noise.)
Dust does NOT rise up from my tumbler when I open the lid. The most dust in the air comes from sifting the medium away from the brass. I'm thinking of getting one of those RCBS medium separators--the COVERED one, to combat that. But have not done so yet.
The dust does not get all over everything, anyhow. My workbench is essentially clean when I'm done, except for the bits of medium that get unavoidably dropped. Clean those up with a shop-vac, clean out the tumbler bowl with same, and done.
What problems?