Use a large serrated knife to level the tops of the cake layers so they are flat. (For tips on leveling and stacking cakes, refer to my instructions.)
Place the first cake layer on a serving plate or cake board, then spread about 1 cup of frosting on top. Smooth the frosting into an even layer.
Sprinkle half of the chopped Reese’s on top of the frosting and gently press them into the frosting. Spread a small amount of frosting on top of the Reese’s to create a sticky surface for the next cake layer.
Add the second cake layer and repeat the frosting and Reese’s process, spreading about 1 cup of frosting on top and pressing the remaining chopped Reese’s into it.
Place the final cake layer on top.
Smooth frosting over the sides of the cake, creating a thin crumb coat.
Spread about 1 cup of frosting on top of the cake and smooth it into an even layer.
Frost the cake as shown in my tutorial for a smooth finish, stopping just before using a paper towel, as the pattern on the sides of the cake will make it unnecessary.
Use an offset spatula to create stripes around the sides of the cake (for a step-by-step guide, watch the video starting at 1:40).