1. Combine the beef and suet with the garlic, allspice, cloves, thyme, salt and pepper in a deep bowl. Knead vigorously with both hands until the ingredients are well blended.
2. Then pour in the stock and beat with a wooden spoon until the mixture is smooth and fluffy. Taste for seasoning.
3. Divide the mixture into 18 equal portions and roll each one into a cylinder about 3½ inches long and 1 inch thick, moistening your hands with cold water as you proceed.
4. Preheat the broiler to its highest setting. Brush the rack of a broiler pan lightly with oil and arrange the sausages side by side on the rack.
5. Broil them about 3 inches from the heat for about 8 minutes, turning them with a spatula or tongs every few minutes until they are crisp and brown on all sides.
NOTE: Serve the mititei at once from a heated platter. Traditionally, the sausages are accompanied by peppers in oil and sour dill pickles.