Self-driving cars were expected to eliminate millions of driving jobs over the next few years but Uber just fired 100 self-driving operators (reported by Quartz.com). The Uber self-driving operators can re-apply for jobs in Uber. In theory, they could apply as Uber drivers.
Uber is creating 55 mission specialist positions who will provide more information to self-driving car developers.
Perhaps the main rule is that no jobs are not safe at Uber. It is like characters on Game of Thrones. No one is really safe.