Cecil Dillon had an eleven-year NHL career spanning the years from 1931 to 1942. From 1928 to 1931, Dillon skated for the Springfield Indians of the CAHL. Midway through the 1930-31 season Dillon joined the New York Rangers for 25 games where he scored seven goals and three assists.
In 1931-32 Dillon played a full 48-game season with the Rangers scoring 23 goals and 15 assists for 38 points. In fact, Dillon was a model of consistency, not missing a single game in eight years. In 1932-33 Dillon was a member of the Rangers team that won the Stanley Cup with Lester Patrick coaching.
Dillon scored at least 20 goals in five of his eleven NHL seasons. In 1939-40 he played his final NHL season as a member of the Detroit Red Wings, playing in 44 games, scoring seven goals and ten assists.
He played another two years of professional hockey before retiring. In 1940-41, he played 49 games with Indianapolis of the AHL and 51 games with the Pittsburgh Hornets of the AHL in 1941-42, collecting 13 goals and 23 assists.