Repro Steps:

1) Create a new Page
2) Create a new Component, and place it within the Page.
3) Within the Component, place a TextBlock of a visible colour and visible size.
4) Rename the Root of the Component to "Component_NameA".
5) Create an Attached Property in the Component of type 'String' and of name 'Label'.
6) In the Page, set whichever you text you like in the field for the 'Label' Attached Property of the Component. At this point, the text on the Page should render the text that was typed in the field.
7) Return inside the Component and rename the Root of the Component to "Component_NameB".
8) Return to the Page view.
Observe how the text no longer is rendered.

Expected Results: Renames within a Component should not break bindings: any name changes automatically update the binding path. Users should "Clear Bindings" if they wish to decouple (or couple to another layer).