**Blend the Feta:** Place the crumbled feta cheese in a food processor. Blend until smooth and creamy, about 1–2 minutes.
**Add Pumpkin and Flavorings:** Add the pumpkin puree, olive oil, honey (or maple syrup), cinnamon, nutmeg, salt, and pepper to the food processor. Blend again until fully combined and smooth.
**Adjust Seasoning:** Taste the dip and adjust the seasoning as needed. Add more honey for sweetness, or extra salt and pepper for balance.
**Transfer to a Bowl:** Use a spatula to transfer the whipped dip to a serving dish. Smooth the top with the back of a spoon.
**Garnish and Serve:** Drizzle with olive oil and sprinkle with your choice of garnishes, such as toasted pumpkin seeds or smoked paprika. Serve immediately with dippers of your choice.