Place butter in a light-coloured saucepan over medium heat.
Stir constantly until it melts, foams, and turns golden brown with a nutty aroma (about 5-8 minutes). You'll see brown bits at the bottom.
Let cool for 15-20 minutes until just warm but not hot.
Preheat the oven to 375°F.
Beat the cooled browned butter, brown sugar, and honey together until well combined (it won't get as fluffy as with room-temp butter, and that's fine).
Beat in the vanilla, baking powder, salt, and baking soda, and then mix in the egg. Beat well.
Beat in the flour, then stir in the chocolate chips.
Drop cookie dough by the rounded tablespoonful onto lightly greased or parchment-lined baking sheets. Bake for 12 to 14 minutes, just until lightly browned at the edges. The cookies will look slightly underdone in the middle, but will set up as they cool.
Cool on the baking sheets for 5 minutes, and then transfer to a rack to cool completely.