01 - Preheat oven to 350°F. Line two baking sheets with parchment paper.
02 - Melt 4 tablespoons butter in a small saucepan over medium heat. Add brown sugar and stir constantly until dissolved and bubbling, about 2 minutes. Remove from heat.
03 - Spoon approximately 1 teaspoon caramel mixture onto each baking spot, spacing 2 inches apart. Top each with a few pineapple pieces and half a maraschino cherry.
04 - In a medium bowl, whisk together flour, baking soda, cream of tartar, and salt until well blended.
05 - In a large bowl, beat softened butter and granulated sugar with an electric mixer on medium-high speed until light and fluffy, approximately 2 minutes. Add egg and vanilla, beating until incorporated.
06 - Gradually add dry ingredients to the butter mixture, mixing on low speed just until combined. Do not overmix.
07 - Using a 2-tablespoon cookie scoop, portion dough and roll into balls. Flatten each ball slightly into a disc and place directly over prepared pineapple topping, pressing gently to adhere.
08 - Bake for 13-15 minutes until edges are lightly golden. Allow cookies to cool on the baking sheet for 5 minutes to set.
09 - Carefully flip each cookie onto a wire rack so the fruit topping faces upward. Cool completely before serving to allow the caramel to set.