It is common for cats to want to snuggle up to you because you are warm and she may like to feel your heartbeat to make her feel secure. It is a sign that they like you. Cats don’t like being under blankets as it is too restricting. Sometimes, cats cover a part of a human’s body that is in need of medical care, even if not detected by them yet. They feel slight abnormality in vibrations and they can heal by their heat.