Sure, consider the source. Fox probably thought they'd caught Clinton admitting to a secret plan to impose socialism. And she did assure listeners that she was speaking for herself, not necessarily administration policy.
But what she said is simply true. Since Reagan took office in 1980, the United States has pretended that the general welfare depended on allowing the rich to get richer while income inequality grows exponentially. But this is not the formula for a stable, prosperous society. It's government's job to seek to raise up the majority so as to spread the goods of the country broadly -- broad prosperity makes the whole society work.
It's the job of the people to remind the government of its responsibility.