WoW added something like this and its a little janky there, but personally I think it is nice. It helps makes things more immersive when you are closer it over the shoulder of your character.

I feel things look more interesting when you character isn't always center screen 100% of the time. Lock-on exists but it also limits your movement since you always need to face the target. (And you can't move through you target which is annoying.)

Again, Probably not for any serious content but fun none the less.