When the lithops split there ment to get there moisture from them lower leaves which eventually dry out (so i think you dont water them while they have them plump lower leaves to feed off). Yeah there easy to overwater and kill but them ive had a few dry out and die so wheres the line. hehe!
I think they grow tall if they dont get enough light.
When watering they need to dry quick so use small pots and a fast draining mix.