Combine all ingredients except pepper in a high speed blender and blend until very smooth and creamy, adding more coconut milk if needed to bring everything together (or to thin caramel consistency).
When caramel is creamy, add pepper (beginning with at least ¼ tsp) and blend briefly to combine. Taste, and add more pepper if needed. Repeat until pepper is prominently detectable above the caramel's sweetness.
Transfer caramel sauce to an airtight jar and store in the fridge until use. Enjoy!
Recipe by the pig & quill at https://thepigandquill.com/flourless-persimmon-cake/