How do i stop feeling like i need Constant Communication with my Girlfriend?

alright here is a quick synopsis of whats going on. me and my girlfriend have been dating for roughly a month and a half. before we started dating we use to talk alot! like we would text back and fourth or talk on facebook or skype a bunch. this went on for 4 month and we became really good friends before we started dating. we currently go to different schools but live in the same town back home. about 2 weeks into the relationship we had kind of a big fight, the fight was mainly about me getting a little clingy cuz i told her some personal and emotional things about me and when i told her those things i felt like i was dumping alot of things on her and my natural defense is to cling on in hopes that she will realize i was only telling her those things out of trust and now i realize that the clinging was wrong and for the past month i have been much better since it, but i still feel like things have gotten slightly distant with the talking, are conversations aren't nearly as lengthy via text or facebook nor are they as detailed. she says she still likes me and she doesn't want to break up with me and i know i still like her and don't want to end it with her so i don't know why but i feel like since than i need to constantly be talking to her in some way to know she is still interested in me. i know she is a busy person with school and so am i but it just doesn't feel like the same and since we don't talk nearly as much as we use to since we were friends or started dating i feel like i am losing her. i know i need to give her space and i know her reason is because she is busy but what do i do to calm myself and tell myself that everything is ok and that she isn't going to leave? how do i stop thinking that i need to constantly be talking to her throughout the day to know everything is ok? cuz i know if i do try to talk to her alot throughout the day than i will be too clingy and i will drive her in the other direction. if anyone can tell me what i need to do and how to stop acting like this i would be glad appreciated! Thank You!