We used to have a cat but she died couple of years back.. I remember her being a clingy one, even though it's not that common for cats to do so. She did come to the bed with me, just laid down with me, and when I was about to fall asleep she left to stay on her own place. It was funny - just like she was looking after me the whole time. The thing was that she only did that with me, not coming to bed with my mom or my step-dad. It was funny to me, but I think she got used to me the best since I was the one who looked after her the whole time.
Probably my cat was a rare one but I've heard one of my friends' cat has done the same since he was a little kitten - he just actually sleeps with her in the same bed! It's really cute because he comes up to sleep on her stomach, like warming her up. My friend told me that she moves a lot during the night but her cat is always moving away from her, not being bothered. It's so adorable!