Place the flour, olive oil and egg, slightly beaten, in a large mixing bowl. Work the mixture by hand until it becomes mealy. Drizzle in the orange juice in half-cup increments and work the dough, kneading, until it becomes smooth and firm. Set aside covered with plastic wrap for a half hour, or up to 1 day, refrigerated .

Place the cheese, orange zest , cinnamon, vanilla, clove, mastiha, and sugar in a bowl. Add the first egg and mix it into the filling with a fork. The filling should be dense enough to keep its shape when formed into a little ball in the palm of your hands. Add the second egg and work it in. If the filling is still very dense, add the third egg, only if needed.

Preheat the oven to 180C/360F.

Pinch off an orange-size piece of dough from the mass. Flatten it with your hands and start passing it through a pasta maker, starting from the widest setting and working down to setting #4, forming a long strip that is silky but sturdy and thin. Place this on a floured work surface and using a glass or cookie cutter, cut 4-inch circles out of the strip. Place the first one in the palm of your hand or on a flat work surface, and place a spoonful of the cheese mixture in the center. Bring the sides of the pastry up around the cheese filling and pinch and pleat as you go to shape little muffin-like pieces with pleated sides. Repeat the rolling and shaping with remaining pastry and filling.

Place the tsimbites on a parchment-lined baking sheet (or sheets) and sprinkle the tops with a little sugar. Bake for about 45 minutes to an hour, until golden and set. Remove, cool, and serve.