It takes about 15 minutes before the changes made to the target temperature on the Cozy itself will show up in the Cozy Mobile App.
(conversely, changes made to the target temperature on the Cozy Mobile App should show up in less than a minute on the Cozy)
If you are curious, then here's more technical details:
- Changes made manually from the device are sent to the "gateways" in the building over radio waves. The gateway then sends the transmission over the internet to the Kelvin cloud databases. The data is processed in batches and made available to the Cozy Mobile App within about 10 minutes. All told, it is about 15 minutes before it is reflected in the app.