Wiktionary
n. 1 (context historical English) a person employed to read the time over a phone line 2 A service provided by telephone companies where people can get the time by phone a certain number.
Wikipedia
A speaking clock or talking clock is a live or recorded human voice service, usually accessed by telephone, that gives the correct time. The first telephone speaking clock service was introduced in France, in association with the Paris Observatory, on 14 February 1933.
The format of the service is similar to that of radio time signal services. At set intervals (e.g. ten seconds) a voice announces (for example) "At the third stroke, the time will be twelve forty-six and ten seconds...", with three beeps following. Some countries have sponsored time announcements and include the sponsor's name in the message.