It's normal to want to spend a lot of time with someone when you're in a relationship, or to want to kiss them for a while. Clingy is more about being insecure and not leaving the person alone even when they want space. If you're nervous that you're becoming annoying at any time, just tell her to let you know if she wants to be left alone. If she's not saying or giving off signals, though, then you're probably fine.
“This planet has - or rather had - a problem, which was this: most of the people living on it were unhappy for pretty much of the time. Many solutions were suggested for this problem, but most of these were largely concerned with the movement of small green pieces of paper, which was odd because on the whole it wasn't the small green pieces of paper that were unhappy.” ― Douglas Adams, The Hitchhiker's Guide to the Galaxy