Every tongue is supposed to have a coat. The tradition says the stomach’s qi makes it, rising the way steam rises from a pot, and a healthy one is thin, white and even, so that the pink of the tongue shows through. A white coat, then, is not the question. The question is how thick it is, whether it is wet or dry, and whether it is greasy, because each of those says something different about what is sitting in the stomach.
Thick and white reads as cold or damp settled there: the pot with too much in it and too little fire. Thick, white and greasy, like a film of lard, is dampness proper, and it usually comes with heaviness, a full chest and a sweet or sticky taste in the mouth. Thickest at the back, the morning after a large supper, is a meal that has not moved. And thin, white and dry points the other way: not too much, but fluids that have run low. The colour stays white in all four; everything else changes.