Reese's mother Anne ran a hotel near Guildford, and with it a bridge club, so Reese played in the earliest duplicate matches, "circa" 1930. Whilst at Oxford he met some serious bridge players, amongst whom were Lt.-Col. Walter Buller, Iain Macleod and Maurice Harrison-Gray, the strongest player in the country at that time. Within a year of graduating and after a brief stint at Harrod's, Reese started working for Hubert Phillips's magazine and co-wrote his first book with him in 1937. Phillips acknowledges that although the book is published jointly under their names, "Terence is the real author of the book", receiving only assistance in planning contents and editing from Phillips. From that point on, Reese's profession was that of a champion contract bridge player and prolific writer on the game.