The suction thing is not problem only on the Jnats, as Alx pointed, every stone with the above attributes will have this effect. A few ways to avoid it is,
try smiling razors,
use a tiny bit of slurry in the water,
tape,
Or, use the Smiths solution or any non petroleum based liquid with oily feeling that can be washed out easily. Don't worry, you will not ruin your stones.

On the final stages of honing, I always hone under running water. Not only the particles that can get loose, anything that floats in the air can stick on the stone.