Clarence Williams (January 25, 1955 – September 18, 1994) was an American professional football player who was a running back in the National Football League (NFL) for the San Diego Chargers and Washington Redskins. He played college football for the South Carolina Gamecocks and was selected in the fifth round of the 1977 NFL draft. On September 16, 1979, Williams rushed for four touchdowns for the San Diego Chargers in a win over the Buffalo Bills, a franchise record he shares with LaDainian Tomlinson.
While attending the University of South Carolina, Williams lettered in football in 1975-76 and rushed for 2,311 career yards, including eight 100-yard games. He was inducted into the University of South Carolina Athletic Hall of Fame in 2008.
On September 17, 1994, Williams was shot in his car while at an intersection. He died at Richland Memorial Hospital in Columbia, South Carolina, the following day.