In a medium skillet, melt 2 tbsp of butter over medium heat
Stir in 1/4 cup of brown sugar until combined
Stir in the sliced bananas and 1/2 tbsp of the light rum
Cook for about 3-4 minutes, until the bananas just start to break down, stirring often
Set aside and let cool completely, about 20 minutes
Meanwhile, preheat the oven to 375F
In a small mixing bowl, whisk the cinnamon, 1/4 cup of brown sugar, and 2 tbsp of sugar
Unroll 1 can of crescent rolls onto parchment paper and separate the rectangles, pressing the seams to make 4 rectangles
Repeat with the remaining can of crescent rolls
Spread the softened butter evenly on each rectangle
Sprinkle with about 1 tbsp of the cinnamon-sugar mixture
Dollop each rectangle with the cooled banana mixture and spread to within 1/4 inch of the edges
Roll the rectangles, starting with the short end, and pinch to seal
Gently cut each dough into 6 even pieces
Grease a 24-cup mini muffin pan
Put 2 slices, cut side up, in each muffin cup
Bake until golden brown, about 14-16 minutes
Place the pan on a wire rack to allow them to cool for about 15 minutes
While they cool, place the cream, salt, and remaining 4 tbsp of butter, 1/4 cup of brown sugar, and 1/4 cup of sugar in a small saucepan over medium heat
Whisk constantly while bringing to a boil for 1 minute
Remove from the heat and whisk in the remaining 1 tbsp of rum
Gradually whisk in 1/2 cup of the powdered sugar until smooth
Whisk the remaining 1/8 cup of powdered sugar, a little at a time, until the desired consistency is reached
Drizzle the warm sticky buns with the glaze and sprinkle with chopped pecans