Heat the oven to 375°F. Prepare a baking sheet with a light coating of nonstick cooking spray or a lining of parchment paper.
Unroll the crescent dough. If it's perforated, press the seams together to form a solid sheet. With a sharp knife or pizza cutter, cut the dough into long, thin strips, about 1/4 inch wide.
Pat the hot dogs dry with paper towels. Wrap each hot dog with 1 or 2 strips of crescent dough, leaving a small gap near one end for the “face,” and gently pressing to seal the ends. Slightly overlap or crisscross the strips to create a “bandage” look.
Arrange the wrapped hot dogs seam-side down on the prepared baking sheet, spacing them 1-2 inches apart.
Bake for 12–15 minutes, or until the dough is golden brown and puffed and the hot dogs are heated through.
Remove from oven and cool for a few minutes on the baking sheet. Using a toothpick or a bottle with a small nozzle, dot two small spots of mayonnaise in the uncovered “face” space. Gently press a peppercorn into each to create “eyes.” Alternatively, use drops of mustard or ketchup for the eyes.
Serve warm with your favorite dipping sauces.