How to save a relationship that is about to fall apart?

I don't think you're relationship is falling apart... you're just stressed, both of you are. Obviously this is a very stressful time for you both, and you'll both have different ways of dealing with it, as much as you'd like it to be, his just may not be you, and there is nothing wrong with that. He's probably using his drawing as an outlet for all the stress, so if it works for him, don't worry about it. You can be sure things are going good because you say he is super supportive and kind when your with him, the only problem is him making time for you. You guys are fine! With that said, it seems like you're being "clingy" is because you're stressed too. Maybe you should make certain casual dates, so it's easy for him to make time and you still get your boyfriend :) Good luck with your exams, things will be fine once summer kicks in!