Musgrove played for his local side, Lynemouth Colliery, before being called up for national service, which he served in the Royal Air Force.

He played for a Forces team and also for Scottish junior side Sunnybank while in the RAF and joined West Ham United in December 1953.

In late 1968, he joined Leicester City as assistant manager under former West Ham teammate Frank O'Farrell, taking them back to the top flight when they won the Division 2 Championship in 1970–71.

In January 1973, Musgrove took the manager's job at Torquay United, a post that O'Farrell had held himself five years earlier.

On retiring, he moved back to Torquay with his wife, Jean, to be nearer their children, David, Martin & Allison, and grandchildren.