A law called the Stock Act prohibits members of Congress, their staffers, and other federal officials from trading on insider information obtained from their government work. "No one has been charged under the Stock Act since its passage in 2012, and some legal experts consider it a difficult statute under which to file criminal charges" (Devlin Barrett).
According to the WashPost, Senator Richard Burr is under investigation by the Justice Department for possible violation of the Stock Act. As chair of the Senate Intelligence Committee, Burr received frequent briefings on the threat of the Coronavirus. In mid-February, Burr sold 33 stocks including shares in some industries that were later hit hardest by the pandemic’s rapid spread throughout the United States, including hotels, restaurants, shipping, drug manufacturing, and health care.
That ain't gonna happen. And it's highly unlikely that the Justice Department under William Barr will find anything to indict. However, it's not a good look for Republicans in power. Even the loud-mouthed partisan Matt Gaetz (R-Fla.) has demanded that Senate Majority Leader Mitch McConnell strip Burr of his committee chairmanship. “Republicans need to do a better job cleaning our own house,” Gaetz wrote.