In a small saucepan, heat milk over medium high heat. Once milk has almost come to a boil, add oats and reduce heat to medium.
Cook oats until most of the liquid has been absorbed, about 5 minutes. Remove from heat, and add maple syrup, yogurt and vanilla extract. Stir to combine.
Transfer 1/3 of the oat mixture to a bowl and add cocoa powder to the 2/3 oat mixture that is in the saucepan. Stir to combine.
Transfer chocolate oatmeal mixture to a container. Top chocolate oatmeal with the rest of the yogurt. Sprinkle the chocolate chips on top of the oatmeal.
Serve hot or refrigerate overnight and serve cold.