I've used coconut milk and found it does do a bit for the lather. Otherwise it looks good on the label. And if your coconut milk has guar gum in it, it may speed trace a bit, though it is not unmanageable. There are many ways to handle it. I do it the same way as I do beer or goat's milk (my fav!). I freeze it all and add the lye about a teaspoon at a time to the ice cubes and stir well. I have taken the extra time as TVivian does, but for me it works as well just to add it a bit at a time and keep adding it. I find my ice cubes are just finishing melting as I add the last teaspoon or 2 of lye, so the temp. is still very cool. As long as I do this, I end up with a nice white soap. (Though not with the beer of course!)