When I used to scrap out B&W sets from the 60's and earlier, they had a vertical metal bracket with a rubber grommet on it to hold the yoke.
I kept a few of them, as they looked too useful to toss.
They make awesome drill holders. Sort of a holster, as you will.
My 3/8 drill sits perfectly in it and is ready to use without having to dig it out of a box, case, or drawer.
It bolts nicely to the side of work bench.