From Longman Dictionary of Contemporary Englishrun late/early/on timerun late/early/on timeLATEto arrive, go somewhere, or do something late, early, or at the right time I’m running late, so I’ll talk to you later. If the train runs on time, we’ll be there by ten. → run
Examples from the Corpus
run late/early/on time• Don called - he's running late, so we'll start without him.• He makes our trains run on time.• In other words: - Keep the job running on time.• Maybe she could get the London Underground to run on time?• Station refurbishment seems a mere insult when the trains don't run on time.• Passenger trains never ran on time now. 