Place the fresh garlic cloves, thyme, and chili in a small saucepan. Cover with olive oil and cook gently over low heat until the cloves are soft and lightly golden, 40–45 minutes. Let cool in the oil.
In a blender or food processor, combine the beans, garlic confit, lime juice, salt, and pepper. Blend until smooth but slightly textured, like masabacha. Taste and adjust seasoning.
Transfer to a shallow dish. Top with red onion, parsley, a drizzle of confit oil, coarse salt, pepper, and extra garlic confit cloves. Refrigerate in an airtight container for up to 3 days.