In a small saucepan, melt the butter over medium heat and cook until the butter is golden brown, making sure to swirl the pan often, about 5-6 minutes. You will begin to smell a nutty flavor and see little brown bits at the bottom of the pan when the butter is browned. Remove from the heat and pour into a heat proof bowl to cool until solid.
In a large bowl, whisk together flour, cardamom and salt until well combined. Set aside, In the bowl of a stand mixer fitted with a paddle attachment, beat the butter, dark brown sugar and granulated sugar until light and fluffy, about 3 minutes. Add the honey, cream, egg yolk, and vanilla. Continue to beat for one minute. Slowly add the flour mixture and mix until just combined. Divide dough into four equal pieces and wrap with plastic.
Preheat oven to 325 degrees. Line two large baking sheets with parchment paper. Set aside. Working with one piece of dough, roll on a lightly flour surface to 1/8-inch thick. Cut with cookie cutter and transfer to prepared sheets, placing 1 inch apart. Bake, rotating the sheets halfway through the baking time, until lightly browned, about 15 minutes. Remove from oven. Let cool on sheet for a few minutes, then remove to wire racks to cool completely. Cookies will keep in an airtight container at room temp for 2 weeks.