Beeching attended Royal Military College, Sandhurst in 1918 and was commissioned into the Royal West Kents after the World War I Armistice. He served during World War II in the Royal Army Service Corps. He was awarded an MBE in 1943 whilst serving as a Major in the Corps in North Africa. He reached the rank of Lieutenant-Colonel. Beeching died at Aldershot in 1971 aged 71.