princesslemons, I think what you're feeling sounds completely natural given the way you've had to live for six very long years.
Balance six years of the separation and missing and too-brief bits of time, against just a few months of that all being gone forever now, and it's hardly surprising that your "living apart" cogs are still grinding away and your "It's okay, we're together now" machinery is still new and trying to get the hand-over of the operation now.
When one has lived a certain way for a very long time, then it changes, it's normal for one's whole being to have difficulties catching up with that very change, no matter how wonderful it is. You need time to relax into the relief that everything is all right now.
Be patient with yourself and know that it will happen.
I also don't think there is anything wrong in being clingy or joined at the hip with your man as long as he feels the same and is into it too -- I think there is nothing more adorable in the world than two people who equally want to be with each other as much of the time as possible, barring work of course. If it's mutually joyous, hell, don't knock it!
I think simply time will decrease your separation anxiety, time and eventually finding work you want to do and are enjoying (not just putting up with). In the meantime, be gentle with yourself in the understanding that you had to live under an unusually stressful state of being regarding your relationship for a VERY long time, and to come down from that will naturally be a process, not instant. Take it easy and don't be hard on yourself -- hugs hugs hugs.