Yes for BEDDI, BEDDI Glow and BEDDI Style, which support App control, they support DST. With BEDDI app still opened in the background, BEDDI will automatically synch the time after 3am. 

If you still have problem, please try the following:

1. terminate and reconnect with BEDDI App, your BEDDI clock will automatically update the time according to the time on you phone.

2. terminate the app and go to your phone's Bluetooth setting, click 'Forget this device' for your BEDDI, and open the BEDDI app again, reconnect and the time should be synched.