The Trump confidant was mentioned by Democrats pressing FBI Director James Comey and National Security Agency Director Mike Rogers over alleged links between the Trump campaign and the Russian government.
Rhetorically, Schiff said: "Is it coincidence that Roger Stone predicted that John Podesta would be a victim of a Russian hack and have his private emails published, and did so even before Mr Podesta himself was fully aware that his private emails would be exposed?"
"Trust me, it will soon be Podesta's time in the barrel", he warned on 27 August.
Despite not being at Monday's House Intelligence Committee hearing, the former President Trump campaign adviser's name came up a few times.
Stone was also outraged about U.S. Rep. Adam Schiff's questions at the hearing and allegations about him made by U.S. Sen.
"I give you the same answer, sir", Comey replied. Comey did not provide any details. "We would need a time machine to collude".
Just after the intelligence committee hearing, he tweeted: "It's only fair that I have a chance to respond [to] any smears or half truths about alleged 'collusion with Russians'".
The hearing is created to shed light on the state of FBI investigations into the extent of Russian meddling in the election campaign. "I don't think I should comment".
This was demanded after Stone admitted to having a number of "exchanges" with the mysterious Guccifer 2.0, who initial posed as a lone-wolf hacker before at least three separate cybersecurity firms concluded it was highly likely to be an account managed by the Russians.
Stone told the Times he is more than willing to participate without a subpoena.
"I am anxious to rebut allegations that I had any improper or nefarious contact with any agent of the Russian Federation state based on facts - not misleading and salacious headlines", he said. I am anxious to go to the committee.