My friend insists they're being domineering and possessive by doing this but I think its cute. My kitten likes to sleep on my side or on my arm/shoulder. I sleep on my side and she has to cuddle up to me. She will actually try to pull my blankets off or paw me until I let her cuddle up to me. Other times, she just climbs up on my side. Mitty will sit on my hip or my chest. lol The others are starting to do it more often, too! lol