Postpartum clinginess

So I have a 3 day old baby and I've had no problems connecting with her. But I don't want to put her down I just want to cuddle her constantly. I can't stand putting her in her basinet to sleep because I'm worried about her I do it any way but it's making I hard to sleep. I also feel extremely clingy to my husband I can't stand that he has to go back to work in a couple days. I want him next to me all the time not for the help just for him. Please tell me this is normal and I'm not going crazy