© 2014 Turner Broadcasting System, Inc. All rights reserved. For most paleo dieters, Chinese take out is a no-no. Soy sauce and rice have no place in the paleo diet, nor does the cornstarch that makes those thick and glossy sauces. This paleo-ready recipe combines the ingredients of perennial take out favorite chicken with broccoli with the flavors of Kung Pao chicken: chile peppers and cashews.