After relegation in 1971–72, many club legends such as Harry Glasgow, Sam Hastings, Tommy McCulloch, Graham McFarlane and Eddie Mulheron moved on. Clyde did recover and won promotion as Division Two champions in 1972–73. Two years in the top division until another relegation in 1974–75 would be their last in the top division to date. The Premier Division was introduced ahead of the season 1975–76 as the new top division, with inclusion based upon league position. A poor 16th-place finish in Division One in season 1974–75 meant Clyde was never in contention. The club now found themselves back in the second tier, now known as the First Division.