Should I be concerned with our relationship?

My boyfriend and I have been together almost two years now. Recently, we have been arguing a lot. Not really yelling or anything brutal, just a lot of arguing. 
The main reason we argue is because I'm not the clingy type and he is. We also argue with the fact that he gets angry whenever I do things without him. I've expressed that he does not own me and I don't like him being so possessive. After talking about it after a big fight, he apologized and I think he realized what he was doing and the damage it caused. We are good at talking things over and making sure we each express our feelings. But we have had issues with his "possessiveness" in the past. My main concern is the possibility of these sort of possessiveness becoming abusive? Or am I over reacting?