Preheat oven to 400 degrees F. Grease or line a baking sheet with parchment paper.
Dredge chicken tenders in flour seasoned with salt and pepper. Shake off excess flour.
Heat oil and butter in a straight sided large skillet over medium-high heat until it shimmers, but does not smoke.
Cook chicken in batches until it is golden brown on all sides and fully cooked.
Cut pizza dough into four equal portions. Roll each piece into a thin round. Place chicken and cheese onto one half of the dough. Fold dough over forming a half circle and pinch edges together making sure to form a good seal. Brush each with olive oil.
Toss chicken with Buffalo Wing Sauce to coat. Cut chicken into small chunks.
Place calzones on prepared baking sheet and bake 20 minutes, or until golden brown.
Serve with additional wing sauce or blue cheese dip.