Yes. Your AOne system works all the time, even when your Internet service goes down. Of course, without the Internet you won't have access to some cloud based features (account sharing, scheduling, groups, etc.).
However, the system will continue to work and you will be able to control your lights. Your phone needs to be in the same home network (home Wi-Fi) as your Hub for it to work without the Internet.
If you need any further help or have any questions, please email us at email@example.com, raise a support ticket, using the link near the bottom of this page or clicking on the HELP button (a blue circle with a question mark) or call us on:
UK: +44 (0) 1707351859
Phone lines are open Mon-Fri 9am-5pm.