Is it normal for a guy to be super clingy after knowing you for a few days?

Alright, this is another "too fast too serious" type of situation. I'm 24 and looking for serious anyways but I feel like he is pushing too much. We met about a week ago and he asked if we could hang out and I said yes. But the next day he came over unexpected and brought me dinner. From there it went to cuddling and kissing and constantly asking me how I feel about him or if I think he's a good kisser/cuddler and if I miss him as much as he misses me. It's been one week and he told me he loved me last night. It's like we skipped dating and went straight to serious and I don't feel that he's given me enough time to even figure out if I feel for him the way he feels for me because he never leaves me alone! I told him he was smothering me and that maybe we shouldn't date because it's too much too fast but he said that if we really like each other then we will work trough this because we make each other happy and we can get through this. It's like he thinks we've been dating for a year instead of a month. Is this normal for a guy that really likes a girl? every time I tell him to back off he says he's trying but then the next moment he's asking if he can spend the night! Is it bad that I'm freaking out or an I overreacting. It's been one week.
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I guess another question I should ask from the guys on here is, how long do you wait before getting into stuff like this in a relationship? I'm looking for what IS normal to judge against the stuff that he's doing.
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Thanks for all the help guys! I really appreciate if. The other day he started hinting about what it would be like if we were to marry and some other things so I decided to break it off. I just felt like he was being way to pushy And I realized that I don't have feelings for him more than friends so it wasn't right for me to lead him on. I feel bad but I think it's the right thing to do.
Is it normal for a guy to be super clingy after knowing you for a few days?
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