Preheat oven to 375 degrees. Line a baking sheet with parchment paper; set aside.
Open can of dough and roll out. Cut along the pre-scored lines and separate. Spread 1/4 tablespoon mustard over each piece of dough and top each with 1 piece of ham and 1 1/2 teaspoons grated cheese.
Starting with the long end, roll each piece of dough up toward the point to form a crescent and transfer to prepared baking sheet. Brush each crescent with egg and top each with a pinch of grated cheese. Transfer baking sheet to oven and bake until golden, 12 to 14 minutes. Serve.