I have seen the airbrush cleaner pots made out of Mason jars, but since those are so much taller than they are wide, it seems to me that they would be unstable - especially when you have an airbrush hanging over the edge of it. I found the perfect jar in my cupboard - a 4 ounce Fleichemann's ActiveDry Yeast jar. It's short and stubby, so it resists tipping over, even with the airbrush in place.
I have included this in both two- and one-piece versions. Both need supports, but the two-piece version requires significantly less support material, especially if you print the ring upside down. The lid needs no supports at all. The one-piece version will need a lot of support and has not been tested.
This was designed to fit the two airbrushes I have. Neither have any model numbers on them, but one is a Badger and the other is from Harbor Freight. Your mileage may vary.