At present the Your Phone app only supports viewing your last 25 photos, but the app will eventually offer access to your SMS messages and notifications from your Android device.
If you have been lucky enough to install the app before Microsoft limited access to Insiders once again, you can get a sneak peek at the interface for the messaging feature now.
In the jump menu for the app, accessible via right clicking on the Your Phone icon in the Start Menu, clicking on Messaging will take you to the above screen, which is where your SMS messages will eventually end up.
At present, it merely says “Nothing to see here… yet”, but it will hopefully not be too long before this element is also enabled.
Thanks, Sam for the tip and screenshots