I've dated a few girls like this, most of which didn't change through the relationship. They normally stayed pretty jealous all the time, and mad about small stupid things. Though there are a few girls I've dated that, over time, changed to be more accepting of my friends who are girls, and weren't so clingy all the time. So, it's really up to you to decide what you're willing to put up with for a while, and if they don't change, give them an ultimatum, just say "Hey, I don't like where this relationship is going. If you don't stop being so jealous, or mad about things, or clingy, we will have to end the relationship."
noxux wrote:Mathias: If you like that girl then try it out but maybe is going a little bit to fast, not much just a little.
This is good advice. I would suggest it, it can't really hurt anything. If you don't like her after a while, well then you have the answer you're searching for.