I wish it were possible to stack clay pots in a stable way. If little platforms fit between the stacked clay pots and held the bottom pots in place, it would be.
Hopefully I'll figure out how to include a drawing of this idea later. In the meantime I will describe the drawing: Imagine a circle, and in the exact center, two other circles are just touching at one point. This is a drawing of a circular platform for a flower pot to sit on, and the segments of the circles intersecting within it are the clamp on the bottom that fits into the two flower pots below. Ideally this would make it possible to arrange three pots in a triangle and then stack three pots on those three in an offset triangle and so on, so you have a flower pot column. Alternate arrangements of flowerpottery are possible. It's like flower pot legos!
Really it would be better to offset the clamp portion on the bottom to maximize the exposed soil area of the bottom pots. It's just easier to explain the idea starting with clamp in the center.