From 1972 to 1979, he was chairman of IFA Consultants Ltd, he was also chair of Selenex Ltd (1973–1979), and of Courtenay Stewart International (1975–1979).
Lord Luce was portrayed by Jonathan Coy in the 2002 BBC production of Ian Curteis's controversial The Falklands Play. He has written Ringing the Changes, A Memoir published by Michael Russell.
He is the son of Margaret (née Napier) and Sir William Luce, Governor and Commander-in-Chief of Aden, Political Resident in the Gulf and Special Representative to the Foreign Secretary (Lord Home) for Gulf Affairs. His father's older brother was Admiral Sir David Luce, First Sea Lord (1963–1966). His maternal grandfather was Vice Admiral Sir Trevylyan Napier, who was the Commander-in-Chief, America and West Indies Station (1919–1920).
Luce has two sons, Alexander and Edward. His sister Diana is married to retired Royal Navy officer Captain David Hart Dyke, and his niece is comedian and actress Miranda Hart. His paternal grandfather, Rear Admiral John Luce, survived two key British naval battles during World War I: the defeat at the Battle of Coronel and the victory at the Battle of the Falkland Islands.
Upon a helm with a wreath of Or and Gules, within a circlet of Plumbago Flowers a Mute Swan naiant proper, gorged with a Chain pendant thereform a Portcullis Or.
Torse
Mantling Or and Gules.
Escutcheon
Gules, two lucies naiant in pale Or, and on a chief Or, a key fesswise the wards to the dexter Gules, between two martlets Sable.