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I want to hang out with her more than that on the weekend but i also don't want to push her away. She has never been a fan of that clingyness, although i know that she enjoys her time with me also.
Younger attractive girls, because of social media/texting freaking hate clingy guys. They are hit up constantly. They will bat over-texters around like a cat to a crippled mouse. Guys who say "sorry" all the time in text for replying four hours later, guys who are too nice, guys who use a lot of exclamation points, etc. The list goes on and on.
If you want to spend more time with a girl, make sure she has a great time when you're together. That one night a week you have right now should be mesmerizing. Just focus on THAT. She will eventually fall for you and ask for more time. She will think about it constantly until she has to let it out. Let her reveal her cards first. Be the man, show patience. Women love strong, patient men who don't blow up their phones everyday. This is foreplay to them.
You can get away with mushiness later, when you know you have her. But right now you don't. Just be cool.