I met this girl in college about a month ago and we hit it off pretty well. She has a very strong work ethic so I try to give her as much space as she needs. I see her occasionally and we text each other throughout the day; however, I usually initiate the conversation. Once or twice a week, I usually text her late at night when I am drinking with my friends, and she sometimes comes out to hang with me. The second time we hung out, I was with a couple of my friends drinking (she was sober) and she wanted to sleep over my apt... we hooked up that night. Herein lies problem number one. She is somewhat affectionate with other guys who are her friends.
We have only been on one formal date which started with eating at a really nice restaurant and then spending the rest of the night downtown getting to know each other. Herein lies problem number two. Summer break came rather quickly so I asked her "are we exclusive or non exclusive?" She replied by saying "yeah but the summer is really long and I don't think a month is long enough to make a strong enough connection to last through the summer...we have only been talking for a month and you expect me to go three." I know that I could, but apparently she cannot. The conversation continued about the situation but I am trying to somewhat cutoff communication with her because (1) it is all we talk about (2) I want to make her want me more. However, it is getting harder and harder to do this because I am so concerned about whether she wants to continue things once school picks up again. Furthermore, I am somewhat reluctant to cutoff communication with her complete because I don't want her to lose interest and forget about me. Herein lies my question. From what I have stated, does she actually want to continue things with me when school picks up? Please tell me if you want me to elaborate on anything if needed.

You've known her for only a month and then bowled her over with "Are we exclusive or non exclusive?"

Do you want to cut off communication or not?

Thanks for the prompt response. Yeah, I know that it was rather soon to ask that but I was under the impression that things were going well. To put myself in a better position, I later told her that was cool with putting things on hold and if we were both available when school started... we could maybe continue things. I think I need to cut off communication... but I am not sure if that will make her lose interest.

Please don't use the Comment box when you answer. Then no one can quote you.

I think I need to cut off communication...but I am not sure if that will make her lose interest.

Why cut off communication? I wouldn't.

She may lose interest anyway (ummmm, you might too), but cutting her off guarantees it.