Preheat your oven to 375°F (190°C).
In a large bowl, mix the cassava flour, grated cheese, baking powder, salt, black pepper, and dried oregano (if using).
Add the softened butter and use your fingers or a pastry cutter to work it into the flour mixture until it resembles coarse crumbs.
In a separate bowl, whisk together the eggs and milk.
Gradually add the egg and milk mixture to the flour mixture, stirring until a soft dough forms.
Scoop spoonfuls of dough and shape them into small balls or patties. You can also form them into small rings if desired.
Place the shaped dough onto a baking sheet lined with parchment paper, spacing them about 1 inch apart.
Bake in the preheated oven for 15-20 minutes, or until the Chipa are golden brown and cooked through.
Allow the Chipa to cool slightly before serving.
Enjoy warm as a snack or appetizer.
Enjoy your meal!