Elio handles it rather well, honestly, since he's very understanding and knows when to back away. Also, the phrase "there's plenty of fish in the sea" and all that jizz. It hurts initially - especially if he was close, so in such instances he may silently cry here and there, and would require some space to sort things out, but he gets over it fairly quickly. Mainly because of how well he can keep his emotions in check and being naturally optimistic. In the end, he still wants others to be happy, so if breaking up can lead to that form of happiness, all the power to them.