Well, there's this in the House Rules from the 116th Congress.

"Service of Indicted Members in Leadership and on Committees.

Subsection (hh) adds to the Code of Official Conduct the standard that a Member, Delegate, or Resident Commissioner who has been indicted or formally charged with criminal conduct for a felony offense punishable by at least two years in prison should resign from any committee on which he or she serves, and step aside from any party caucus or conference leadership position the Member, Delegate, or Resident Commissioner holds, until he or she is acquitted or the charges are dismissed or reduced below the previously described threshold."

Haven't read the 117th Congress House Rules Yet.

https://rules.house.gov