Lay the bread slice on your work surface. Cover with the turkey, tomatoes, sautéed greens, and cheese. Drizzle 1 teaspoon olive oil (or oil from the jar of the tomatoes) over the top.
Reheat the skillet over medium-low heat. Add another teaspoon of olive oil to the pan. Set the sandwich in the pan, cover with a lid, and cook until the bottom browns and the cheese melts. If the cheese doesn't melt to your satisfaction, you can always finish the job under a broiler.