Clarence Edward Heise (August 7, 1907 – May 30, 1999) was an American Major League Baseball pitcher who played in 1934 with the St. Louis Cardinals.

Heise was originally in the Middle Atlantic League organization, playing for the Scottdale, Pennsylvania, Class C team.

In August 1933, Cardinals general manager Branch Rickey called his counterpart with the Cubs, William Veeck, Sr. and offered him two pitchers—Heise and Bill Lee.

Heise appeared in only one game during the 1934 season, allowing three hits and three runs in two innings of relief in what would be his only major league action.

[3] He was sent back to the minors after the season, and spent the next three years in the Cardinals, Chicago White Sox and Washington Senators organizations before retiring.