I do not believe that this exists out of the box because of its recursive nature - since you can have an infinite number of relationship levels it would cause performance issues. To do this efficiently you would need a table that related each CI to each other CI in the relationship dependency tree, and that would require some significant customization. You could also design some advanced reporting to perform the same task, but I do not think either of these solutions would fit your definition of "easy".
Your final solution would be to manually (or via custom spel code) attach all dependent CIs to a change order involving one CI. This would allow OOTB conflict monitoring. I have never seen this done, but perhaps someone else has had this same idea and done something similar? Hopefully this gives you something to go on!
Regards,
Marty