Many web editor offer that feature, that should be available in CuteEditor.

 

When moving in the text, the drop down that display css, font name and style should be adjusted to reflect the current cursor text style. Maybe not for selection that includes multiple styles but just the cursor should be enough.

 

Example moving the cursor here [X] should change the class drop down to bold...

 

I know it's not a 5 minutes changed, but would improve the overall customer experiences that are often lost in their style management.