Lean production and the Toyota Production System from which it was derived are based on an organization's entire effort functioning as a unit. They don't pick and choose which elements of the production process will be lean.
The experience of UX is not a product in and of itself. It would be like selling a dashboard instrument cluster to a person wanting to buy a car. Or the smell of a shampoo of someone who wanted to wash their hair. Rather than ask how we achieve lean UX, we need to determine how UX fits into product development in order to achieve continuous product flow to the customer. A great deal of the answer comes from a reconsideration of how companies value, train and retain their workers.