Justice Kavanaugh spoke at the Eighth Circuit Judicial Conference. He was interviewed by Judge Sarah Pitlyk, who was his former law clerk. (Kavanaugh's clerk tree continues to grow, with President Trump's recent nominations to the Third and Sixth Circuits.)
I have yet to find a video of the event, but there are several press accounts. Politico offers this insight:
Kavanaugh also made clear he closely follows press coverage, podcasts and social media posts about the Supreme Court, what he described as "an ocean of criticism and critiques out there."
"I'm aware of it. I definitely pay attention to it. I think you have to. We're public officials who serve the American people. It's not an academic exercise," said Kavanaugh, who worked as a White House lawyer for President George W. Bush. "It's important for maintaining public confidence in the judiciary and the Supreme Court to know how the opinions are being conveyed and received and understood by the American people."