Please let me know if you have figured it out 😊 I'm having the same issue. 

same issue. I feel like I'm taking crazy pills.

So it is possible. You just rename it in the Edit view. It just doesn't sync to the main interfaces page quickly, so I didn't notice it worked until today.

When you are editing the interface there is a gear button next to the Done button. Click there to change the name or restrict the sharing of the interface.

The gear icon is not showing up for me.
Any ideas?

I am having the same issues.  There is no gear button at the top.

Click on the arrow pointing down next to the name of the interface. The the following should show up.

If I do that and go into "edit" mode I still do not have the gear or ability to change the interface name.  Am I missing something?

I think I figured it out but it seems buried.  

1. Go into edit mode as you show above

2. On the right click "All Pages"

3. Click on "..." beside the interface name

4. Click on "Rename"

yes you did!!!

Still having trouble finding a way to rename  the Interface. Here's a screenshot of the upper-right portion of my screen while in editing mode, and do not see a gear icon nor an All Pages option:

Thoughts?

Never mind, found the correct drop down and was able to rename Interface.