Preheat the oven to 350 degrees F (175 degrees C). Grease and flour a fluted tube pan (such as Bundt®).
Puree clementines and apple in a food processor or blender. Place in a large mixing bowl or on in the bowl of a stand mixer. Add sugar, eggs, melted butter, and vanilla. Mix well. Add whole wheat and all-purpose flours, baking soda, and salt. Blend and then add chocolate chips for a quick incorporation. Transfer to the prepared cake pan.
Bake in the center of the preheated oven until a toothpick inserted into the center comes out clean, about 1 hour.