Thanks for reaching out, welcome to the community. I'm sorry to hear that you are experiencing problems with your Home Speaker 500 showing the incorrect time.
To confirm, does the clock stick to a time of a different region?
What I would firstly suggest is that you reset your speaker. To do so; turn off your product and disconnect the power cord for 30 seconds.
I would also ensure that the time is correct on the device running the Bose Music app. The time shown on the Bose system is synced to the time of the device that last toggled the system Clock setting on or off. If the time on that device is incorrect, the product will also display that incorrect time.
Please take a look into this and let us know how you get on.