I never got homesick. Granted home wasn't far away if I wanted to go back. But for my first year living away I rarely visited.
I think some people are just more emotionally attached to places than others.
I'm probably just really weird but for me it didn't feel like anything. I moved out, it felt like home and I was fine. Everyone can be easily contacted by phone or Facebook or whatever.
The only thing is I sometimes miss closeness but that's mostly because I'm a very cuddly person and my friends were too so we would constantly cuddle up in my bed and watch movies or just talk and stuff like that. But got used to it too and it didn't really affect me much.
Edit. Everyone in my family enjoy being pretty independent so that may have had a part in it. Like we would see each other in the mornings and evenings but everyone took care of themselves most of the time. So it was pretty much the same when I moved out except I needed to buy more food, actual cleaning supplies, stuff like that.
it all really just depends on how good you are with dealing things independently , it does hit you a bit when you come to realise that your out of your own home and comfort zone but nearly everyone's like that so theirs no worries , you get used to it as will your peers.