In the novel Thank You, Jeeves by P.G. Wodehouse, Bertie was telling Jeeves that he saw J. Washburn Stoker and his daughter Pauline along with Sir Roderick Glossop. To this Jeeves asked him if he entered into conversation with them but Bertie replies
Who, me? No, Jeeves. I was out of the room like a streak.
What does “I was out of the room like a streak” mean?