Preheat your oven to 350°F (175°C).
Brown the butter in a saucepan over medium heat.
In a mixing bowl, combine the brown butter, brown sugar, and granulated sugar.
Add the mashed bananas, eggs, and vanilla extract to the sugar mixture.
In another bowl, whisk together the flour, oats, baking soda, and salt.
Gradually mix the dry ingredients into the wet ingredients until combined.
Fold in the chocolate chips gently.
Drop heaping tablespoons of dough onto a lined baking sheet.
Bake for 10-12 minutes or until golden brown around the edges.
Let the cookies cool on the baking sheet for a few minutes before transferring them to a wire rack.