I've done it with Sharpies & rubbing alcohol. In that case, the ink still needs to be pretty wet (fresh) & it will always run outward like a starburst circle (you make little dots on the shirt & they'll spread out 3-5 inches). Makes for a great science lesson for 1st graders.
I don't know if it would work with home dyed fabrics maybe if you did that before they were 100% dried. I would think the mordant would keep it from working properly & have not ever seen this effect on commercially dyed or printed fabrics (haven't tried it on batiks, but I've used rubbing alcohol many times when hairspray wasn't available to get ink stains out of children's shirts & it's never ever caused any colors to bleed).