Preheat the oven to 400°F (200°C).
In a medium bowl, combine 2 cups shredded rotisserie chicken and 1/2 cup barbecue sauce until evenly mixed.
On a large cutting board, unroll the dough from the 8 oz can of refrigerated crescent rolls into two long rectangles and overlap the long sides to form one large rectangle; press the perforations and edges together to seal.
Spread the chicken mixture evenly over the dough, leaving a 1/2-inch strip along one long edge uncovered.
Sprinkle 3/4 cup shredded sharp Cheddar cheese evenly over the chicken mixture.
Starting at the long side with the filling, roll the dough tightly toward the uncovered edge and pinch the seam to seal.
Use a sharp knife to cut the roll into 8 equal slices (pinwheels) and arrange them cut side down in an ungreased 8- or 9-inch round pan.
Bake for 18 to 22 minutes, until the pinwheels are golden brown and the centers are cooked through; let cool 5 to 10 minutes in the pan.
Sprinkle 2 to 3 tablespoons chopped fresh cilantro over the top and serve warm.