Pour some cinnamon sugar on a plate. Separate crescent roll dough into pieces, then wrap the dough tightly around sticks, overlapping the edges. Roll the dough in the cinnamon sugar. Cook over a medium campfire, rotating the stick often, until the dough is browned and cooked through, about 5 minutes. Roll again in the cinnamon sugar.
In a bowl, mix confectioners' sugar with a little water or milk to form a glaze. Drizzle over roll-ups.