With the next iOS app update (version 2.6.0) you will be able to display temperature, humidity, motion event state or last update time of selected tags on lock screen. You can touch/tap on the colored square to the right to switch the display between humidity, last update time and motion sensor state.
You don't have to launch the Kumostat app or even unlock your phone. Just drag down from the top of the screen to reveal the "Notification Center" where you can click the "Edit" button to add the "Temperature/Humidity/Motion widget".
The nice thing about this feature is that you can mix&match multiple tags you want to show from different tag managers. Instead of data of all available tags, only data of the chosen tags is downloaded resulting in quick load time.
In this version, we could not get the automatic display update to work within the widget, i.e. if a tag is moved, it will not automatically be updated in the notification center, unlike it does in the app. The display in the notification center should refresh/update if you hide the notification center and then open it again.