Okay,

The server script section needs to be modified. Couple of things you will have to think about... There are several global libraries used in the server script section of the widget, that may or not be accessible in scoped apps. So be prepared for the possibility this may not work at all.

You have to see if scoped apps allow you to access APIs like gs.hasRightsTo (looks like it doesn't allow it), GlideTableDescriptor, and GlideDBObjectManager to start with (there may be more, but saw those at a glance).

I don't think you will be able to get access to those APIs in scope but try. Your system logs may have some server side errors/warnings indicating issues on the server script that you can troubleshoot.

BTW, I have had to clone the form widget before, and it worked fine, but I did it in Global scope. If you aren't planning to put this app on the store, you can also just clone the widget in global scope, but use it in your scoped app on a page. I have done that before successfully.