Cut in half. Also cut stem tops off, and trim bottoms so halves sit flat. Scoop out seeds and stringy bits. Brush inside and top with olive oil. Bake at 425°F for 25–30 minutes until tender. Set aside.
Heat olive oil on medium heat, add onion and sauté for 5 minutes. Add garlic and spices, sauté for two minutes. Turn up heat, add lamb and cook through. Add red wine and chicken stock, reduce until absorbed but still a bit wet. Add currants, rice and pine nuts. Stir to combine. Add salt and pepper to taste.
Spoon mixture in squash halves, set in a shallow pan lined with parchment paper. Cover loosely with foil and bake in 350°F oven for 45 minutes.