In a large mixing bowl, cream the butter, brown sugar, and cane sugar. Then, beat in the lime zest, lime juice, egg, and egg yolk. Next, beat in the baking soda, salt, oat flour, and gluten free flour blend. Stir in the white chocolate chips. Cover and refrigerate dough for at least 30 minutes.
Preheat the oven to 350 degrees.
Spoon cookie dough onto parchment-lined baking sheets. For uniformity, use a cookie scoop and roll the dough into balls. Then, bake at 350 degrees for 8-11 minutes, until beginning to brown.
Allow to cool on the baking sheet for 3-4 minutes before moving to a cooling rack. Store cookies in an airtight container.