Place a skillet over medium heat and melt the butter. Add the brown sugar, vanilla, cinnamon and salt. Mix well and continue to cook until the sugar has dissolved, 1 to 2 minutes. Gently stir in the sliced bananas and cook until softened but not mushy, 1 to 2 minutes. Remove the skillet from the heat (or turn off the heat) and stir in the rum. Return the skillet to medium heat and bring the mixture to a simmer. Allow the topping to cool for 2 minutes.
Arrange the cheesecakes on a serving platter. Spoon a heaping tablespoon of the fruit topping on top of each cheesecake. Serve immediately.