UTC+01:24 is an identifier for a time offset from UTC of +01:24. The time corresponding to that offset was the local mean time at the Warsaw meridian and was also known as Warsaw mean time.
In ISO 8601 the associated time would be written as 2017-03-26T16:27:22+01:24.
Since the early nineteenth century, it was commonly used for timekeeping purposes in the lands of the former Polish-Lithuanian Commonwealth.
On 5 August 1915, Warsaw switched to the Central European Time, and the rest of Poland quickly followed suit.
References
UTC+01:24 Wikipedia(Text) CC BY-SA