I still find it very odd that they left this out from Fallout 3, the feature made sense. Well plastic surgery not so much, but a different haircut sure.
The art of Hair-Smithing was banned in the Empire as per the White-Gold Concordant that ended the Great War. While there remains legends of an old renegade hair smith living in the Jerall Mountains, the Thalmor plot to weaken the Enpire through limiting their hairstyles goes unhinged...