Preheat oven to 400 degrees.
Arrange garlic head with ¼” cut off the top in the center of parchment-lined foil. Drizzle with oil and wrap tightly. Transfer to a baking sheet and roast until garlic is tender and slightly golden, about 40-45 minutes.
Once cooled, squeeze each clove of roasted garlic into a blender or food processor with the butternut squash puree, olive oil, lemon juce, tahini, and turmeric and blend until smooth.
Season to your liking with salt, cayenne, and chili flakes.
Optional: If you’d like a warm and cheesy dip, transfer the mixture to an oven-friendly baking dish. Mix in half of the cheese, and then sprinkle the rest on top. Bake at 400F until the cheese is golden brown and bubble on top. Serve warm with your favorite bread, crackers, or veggies.