I approached this girl the other day and we talked for about half an hour. Felt pretty natural and overall I would say it went well.

She ended up chatting with me on Facebook afterward, and asked me to hang out with her the next day, which I take as a good sign.

I haven't closed her yet (number or otherwise) and today I think I might have played it too clingy. I was with her most of lunch, but she left before I did.

Where should I go next with this?

Should I ask her out, or hang out with her more at school first, or what?

Thanks for any advice.

Some more info:

First approach: (Day 1)

Came across interesting. Funny conversation, got her laughing a lot. She told me it was the best lunch hour she's had, and that I'm hilarious and everything. We talked a lot on day 1, and I didn't feel that I was being clingy because she wanted me to stay with her.

IOI's?
Laughed at all of my jokes, made a lot of eye contact.

Second approach: (Day 2)

She told me to meet her at her locker on day two at lunch. I didn't show up until there was only 5 minutes left in lunch. We chatted for a bit. I was stuck in my head a bit, so I didn't come across as interesting as day 1.

IOI's?
Not as many because it was such a short interaction.

Third approach: (Day 3)

I went over to her locker pretty much right away. We talked almost all lunch. I was stuck in my head again, thinking about what to say, so it wasn't as great an interaction as it could have been. This is when I began to feel clingy. I should have left at this point for a bit and talked to some other people to get my flow going and get myself out of my head, but I was afraid to leave and stayed put. I talked, just what I said didn't come out naturally and with the same flow as day one.
At one point we were talking and she suggested that I leave indirectly. I did but made it seem like I wanted to leave. Then I came back. After 5 minutes, she suggested that her and her friend go to her friends locker, so we said bye and she left. (Lunch was almost over).

IOI's?
Wasn't exactly looking for them, although in retrospect I should have been.

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I'm going away this week, so she won't see me for the whole week. This should give us some time apart. I need to balance my time between her and other friends. I don't want to ignore her completely, but I don't want to be clingy.

WHAT THE FUCK ARE YOU TALKING ABOUT!? Time apart? Good god, you sound like you are married to the bitch and she barely wants to talk to your ass. Give it a rest dude, back the fuck off, because if she has at any point told you to leave indirectly, or hinted at her friend that she wants to leave, it means you have FUCKED UP. Now stop acting like such a clingy douche and stop talking to her COMPLETELY. I mean stop fucking walking to her locker, stop fucking talking to her, stop, stop, STOP!

I know you won't do this though, because instead of actually following advice you just want to analyze the situation over and over. GO TALK TO OTHER GIRLS, wait for her to approach you, and THEN and ONLY THEN can you continue to game her. I just know though, KNOW you aren't going to do this because you are so fucking caught up in the attention this chick has barely shown you.

WHAT THE FUCK ARE YOU TALKING ABOUT!? Time apart? Good god, you sound like you are married to the bitch and she barely wants to talk to your ass. Give it a rest dude, back the fuck off, because if she has at any point told you to leave indirectly, or hinted at her friend that she wants to leave, it means you have FUCKED UP. Now stop acting like such a clingy douche and stop talking to her COMPLETELY. I mean stop fucking walking to her locker, stop fucking talking to her, stop, stop, STOP!

I know you won't do this though, because instead of actually following advice you just want to analyze the situation over and over. GO TALK TO OTHER GIRLS, wait for her to approach you, and THEN and ONLY THEN can you continue to game her. I just know though, KNOW you aren't going to do this because you are so fucking caught up in the attention this chick has barely shown you.

Okay, a little bit more harsh than I was looking for haha, but a good wake up call nonetheless.

You're only wrong on one part, and that's you saying that I'm not going to follow this advice. It's good advice. I shouldn't worry about it as much as I am, and I am definitely over analyzing the situation. I reread that post and it sounds like I'm a creepy clingy kid who obsesses over one girl who he barely knows.

But don't judge my game and perception of women and this one girl based on how I wrote a post intended to give you some more information about my problem. That's your mistake. But I'm not going to be malicious about it because that would be hypocritical and I actually appreciate your advice, because you definitely have a good point.

So this is what I'm going to do:

1. Not over-analyze the situation. This is the last time I'm even going to really think about it.
2. I'll talk to her if she is in the vicinity or approaches me, which is likely. I may have mislead you with the last post, but I'm pretty sure she is interested.

So you are telling me my reverse psychology worked? Yes I am being harsh, but it is for your own good. If I was going to sit here and hold your hand and walk you through everything I would of been no more helpful than your father currently is. If you are going to talk to this girl if she is near you, then keep it extremely short. Tell her you would like to talk, but are meeting up with Cindy, Susan, Mary, Jessica, Laura, Monica, Haley. Anything to let her know that you don't need her attention, that you have lots of other people you can have fun with, and it is NO BIG DEAL to see her around, because you will see her around, the point is to have her seeing you having fun without her. She is not your world, she is a pebble to be walked over on the path from beginning to the end of your life. If she wants to make an impression on you, she will. As of right now, you are trying to build up social proof by ignoring her, and going about your business, because your business is more important than she is.