Preheat oven to 400. Lightly oil a large baking sheet.
In a large mixing bowl, combine chicken, olives, shredded cheese, and 1½ cups of the cooled sauce.
Spoon about 3 tablespoons of filling onto the middle of a tortilla. Roll up taquito and place seam side down on prepared baking sheet. Repeat with the remaining tortillas.
Use a pastry brush to brush a light coating of olive oil onto each taquito. Sprinkle with coarse salt to finish.
Bake at 400 for about 25 minutes, until taquitos are lightly golden brown. Serve with the remaining sauce on the side for dipping.
Notes
To freeze, place each taquito on a baking sheet, making sure that taquitos are not touching one another. Freeze the whole tray for a few hours and then transfer the taquitos to a gallon-sized ziploc bag for storage.