Pudding was a type of dessert. It was sometimes also used as synonym for dessert.
The Fourth Doctor joked to Thawn that Kroll was saving him for pudding. (TV: The Power of Kroll [+]Robert Holmes, Doctor Who season 16 (BBC1, 1978-1979).)
In 1887, the Seventh Doctor, Sherlock Holmes and John Watson once consumed a pudding made from boiled rice and coconut flavoured with rose essence. (PROSE: All-Consuming Fire [+]Andy Lane, Virgin New Adventures (Virgin Books, 1994).)
Clara Oswald and the Twelfth Doctor had a dinner date in 1937 Berlin, which involved some pudding. (TV: Kill the Moon [+]Peter Harness, Doctor Who series 8 (BBC One, 2014).)
The Tenth Doctor thought that the word "tulgy" was very good for describing puddings, claiming that he'd had some wonderfully tulgy puddings in his time. (PROSE: The Nightmare of Black Island [+]Mike Tucker, BBC New Series Adventures (BBC Books, 2006).)
Angie Maitland asked Clara Oswald if her mum was deep on puddings. (TV: The Name of the Doctor [+]Steven Moffat, Doctor Who series 7 (BBC One, 2013).)