Preheat oven to 350°F. Lightly spray a rimmed baking sheet with non-stick cooking spray.
Lay wontons out on the prepared baking sheet. Brush with honey, spray with cooking spray, and sprinkle with cinnamon. Bake 6 to 8 minutes at 350°F, or until golden brown. Remove from oven and allow to cool slightly on baking sheet.
Meanwhile, in a large saucepan over medium-high heat, sauté apples in olive oil for 5 to 8 minutes, stirring occasionally. Stir in lemon juice, sugar, nutmeg, ginger, 1 teaspoon cinnamon, and cook 1 minute more.
Reduce heat to medium-low and cook apples until tender, stirring occasionally. When apples are cooked through, remove from heat.
To assemble, spoon warm filling into a stemless wine glass, dessert bowl or parfait glass. Top with whipped cream or a scoop of ice cream. Place one to two wonton crisps standing up in the filling and finish with a light dusting of cinnamon. Serve immediately.