Replace context menu of GTK applications

Hey there!

I'm going to write my bachelor thesis on different menu types (e.g. Pie 
Menus). For this reason I'd like to replace the context menu of GTK 
applications (the menu opened by right-clicking).

I know it's possible to do this with the main application menu (like all 
the different global menus are doing it).

So here's my question: Is that possible for context menus as well? Is 
there an API for this purpose? If so, what's the way to go? 
Documentation on this topic is very sparse...

Best regards and thanks for your support,
Simon