Place a baking sheet in the oven. Preheat oven to 475° (keep baking sheet in oven as it preheats).
Brush crust with 1 tablespoon olive oil; top pizza evenly with shredded chicken and ricotta cheese. Sprinkle with goat cheese, black pepper, and red pepper. Carefully place pizza on preheated baking sheet; bake at 475° for 10 minutes.
Combine white wine vinegar, remaining 1 tablespoon olive oil, and Dijon mustard in a medium bowl, stirring with a whisk. Add arugula and radish slices; toss to coat. Top pizza with arugula mixture. Cut the pizza into 8 wedges.
I think the key is to up the pepper, which I did and was satisfied with the results. I liked this because it was so easy. (I was a little intimidated with the whole "may your own pizza" idea, but was surprised by how easy it turned out to be.) I would make this again. My boyfriend really enoyed it too.
This was boring and had very little flavor other than the goat cheese. My daughter took one bite and said can you make me a different pizza. Husband ate it but said if he ordered it in a restaurant he would be disappointed. I had one piece and decided it was not worth eating. I didn't not put the maple syrup on as one person suggested. The ricotta needed something to make it more tasty!