Originally a brand license was held by Inter Parfum SA. Then Burberry took the business in-house. The new licensee is Coty Inc.
There are quite a few fashion/apparel brands, which have tried to run the beauty business on their own. Escada is an example, Balmain a more recent one. But the perfume and cosmetics business is very different from apparel or fashion.
Similar to watches and eyewear, HBA is a prime example for licenses.