Bring milk to a simmer in small saucepan over medium heat. Whisk in cocoa powder and sugar and stir until no lumps remain. Stir in chocolate chips and vanilla and cook, stirring occasionally, until the chocolate is completely melted. Turn off heat.
Pour chocolate sauce in a small dish. Dip cups in the chocolate to rim the cup. Pour hot chocolate into each glass, then top with a scoop of ice cream and some chocolate shavings.
Recipe by Cooking TV Recipes at https://cookingtv-channel.com/hot-chocolate-float/