The Washington Post had a column by a millennial columnist complaining about the lack of opportunity. It is striking that the column never once mentioned income inequality.
There is no doubt that millennials will on average be far wealthier than their parents. Output per hour has roughly doubled over the last three decades, meaning that the real wage could be almost twice as high today as it was in 1980. Insofar as the typical millennial is not seeing the benefits of this productivity growth it is due to the fact that so much income has been redistributed upwards, not the result of any generational dynamics.