Awww, PL, it's totally understandable to feel clingy, as Mrs R said, you are the "new kid" here as well, even though you visited multiple times, and more than 6 years in a long distance relationship is going to make it seem too good to be true now that you are together. I am still sometimes terrified of something happening to DH or us being torn apart by something, and we were only LD for a year. It hurts to have to miss the one you love. I work with my DH, the exact same hours, and we are pretty much always together, though we are usually doing our own thing, like playing computer games (solo), surfing the net, reading, taking a bath, etc. As Mrs R says, it feels good to know they are just there while you are still enjoying some time to yourself. It's been over a year now and I am just now getting to the point of wanting to have some girl's night-outs and my own group of friends and stuff. I know one day I will want to have a different job so I am doing more of "my own thing" but at the moment, I totally and completely dig working in the same place and knowing that he is just upstairs if I wanna ring up and have a giggle or whatever.
And I was always the kind of person who got soooo sick of someone if I spent too much time around them (like other people I dated from previous jobs, etc.) so I never would've believed that I would be enjoying things the way they are now, but I guess finding the right person makes all the difference. I am sure you will feel better soon, but for now, just enjoy spending as much time with each other as you can! There isn't anything wrong with that - you deserve it after waiting all this time to be together! (((HUGS)))