Can I click on a map and have the ability to automatically copy the coordinates to be pasted elsewhere?
By the way, I'm using ArcGIS Online.
Using AGOL WAB Version customization like this is not possible. It would require using WAB Dev edition.
Do you know of any enhanced coordinate widgets that can click on a location and automatically capture the XY coords in a clipboard for pasting in another application?
There is a widget and a custom widget out there that display the coordinates but you would have to highlight and copy manually:
Coordinate widget—Web AppBuilder for ArcGIS (Developer Edition) | ArcGIS for Developers
Enhanced Locate Widget Version 188.8.131.52 - 11/5/2018
Retrieving data ...