Whittington chimes is the name of a clock chime melody, also called St. Mary's.
The customary English theater story, adapted from the life of the real Richard Whittington

Richard Whittington

Sir Richard Whittington was a medieval merchant and politician, and the real-life inspiration for the pantomime character Dick Whittington. Sir Richard Whittington was four times Lord Mayor of London, a Member of Parliament and a sheriff of London...

, is that the young boy Dick Whittington was an unhappy apprentice running away from his master, and heard the tune ringing from the bell tower of the church of St. Mary le Bow in London

London

London is the capital city of :England and the :United Kingdom, the largest metropolitan area in the United Kingdom, and the largest urban zone in the European Union by most measures. Located on the River Thames, London has been a major settlement for two millennia, its history going back to its...

 in 1392. The penniless boy heard the bells seemingly saying to him "Turn again Dick Whittington".