<human>: Me: M/22/Student
Her: F/20/Student

I will try to keep this brief, but feel like back story will help (also have a feeling that writing it out will make me answer my own question).

So I recently decided to start dating. About 7 months ago I split with my girlfriend after the relationship had become particularly unhappy. After 6months being single and finding my head again, I decided it was time to start dating. I'm in university at the moment, and had been with my last girlfriend since the beginning of uni, before that I was constantly in relationships (usually getting serious quite quickly) and never 'dating' or 'playing the field'.

My over arching problem is that I get attached very quickly. I want to spend all my time with the person in seeing - probably because I'm so used to relationships.

My first date was a success by most standards, and gave me a great boost in self confidence - but just before the second date, she cancelled telling me she had to "sort out her head". I was a bit gutted but I managed to organize another date with someone else and remain positive.

To cut the story short, I've been on a couple of dates with someone now, and I feel we have a connection - but without me asking she made it clear that she had no intention of being exclusive. She is American and I am from the UK. In 6-7 months she will leave the country anyway and I probably wouldn't be able to follow.

Should I carry on seeing her? Just have a good time- and if so how do I not be so attached? Or should I save my self the heartache and give up?

I really like her, and feel like we would be great together.

Can you give me the gist of the text in a nutshell?
<bot>: New to dating, easily attached, met girl I like - she doesn't want to be 'exclusive'...help!