First thing is that many many many psych (clinical and research oriented) applicants apply more than once.
Don't be discouraged.
Use this time between now and next go around to learn, shore up your weaker academic areas, retake the GRE (with LOTS of study time), publish, and get recognized.
I applied twice, then being discouraged, took two years off and worked full time. I decided at the end of my first year off that I couldn't stand being away from research. So, since I knew I was not terribly competitive number-wise, I decided to get my Master's degree. I was accepted right away, no problem (not a competitive program). This gave me time to flesh out my research interests, get to know the field better, bring up my GPA (my undergrad GPA was 3.3 and my grad GPA is 4.15), and start making more professional connections. My original GRE scores were unimpressive, and I took a Kaplan GRE course over several weeks and brought them up a lot!
After talking to a bunch of people and getting some perspective, I found a few weaknesses I had going in that probably killed my application before.
-My SOP was not focused enough on what I wanted to do or accomplish with my career. It was too vague and it spent far too much time telling a story about personal growth. Since I was targeting highly competitive and research focused field, I needed to demonstrate that I had really thought through why I was doing what I was doing and how I was going to do it. I also talked about my disability and I have no idea if that hurt my chances (I suspect that it may have). I didn't this most recent time around. While it is important to why I'm doing what I'm doing, I managed to talk about this without identifying myself as having a disability.
-I had clear weaknesses in my quantitative background... or not clear weaknesses, but ambiguities that could cast doubt on whether I could succeed in the stats courses involved in a graduate psychology program. Since I started my Master's program, I have taken every graduate stats course I could get my hands on. The only stats course that is offered in Psychology or Education that I have not taken is multi-level modeling. I have gotten A's and A+'s straight through with no exceptions.
-I had research experience in behavioral protocols but none in the neuroscience area explicitly. After a few conversations with people leading labs I was interested in, I realized that the average grad student I was up against had at MINIMUM 2 years experience doing neuroimaging research. I had one person flat out tell me that he was not willing to bring anyone into his lab that could not run neuroimaging analyses independently... That was a little under a year ago, so I joined a neuro lab as soon as I could BUT I was not going to have that kind of competitive profile in the 6 mos I had to apply. :-( If I don't get in anywhere (this is my 4th ap season) this will be why. On the one hand, I can fix this by next go-round, but I don't think, at this point, it will be necessary.
-Nobody knew who I was. This sounds a bit soft, but in the last year and a half, I have been developing relationships by sharing ideas and discussing them with the researchers in the field, I've been seeking them out at conferences, following them on twitter, linkedin, and research gate I make sure that they can recognize me and that they have the opportunity to see that I am passionate and committed to what I'm doing. In a few occasions a researcher has been intrigued enough by an idea I had that they've wanted to read over some of my papers I wrote for my master's courses and discuss the ideas and theory behind it.
I think this has helped because it is really the only way I can get leverage over the massive number of people who have much better scores, grades, and research backgrounds than I do. I know which parts of me are less shiny and they're mostly on paper (I came from a very nontraditional background for my field, grades not so hot, no exp in the specific research techniques they use, etc), once I can get into a conversation I can show people what I am worth and get them to work with me. I'm not sure how applicable this is to you, but I've found very few resources that really talk about this component *shrug* so I think it is worth putting out there.
Of course you NEVER want to be aggressive with the above, if you don't find ways to let them decide to come to you, then this will backfire HARD. Basically, my rules of thumb are to always be genuine, always follow through, and always do it because I want to engage in the idea with whom ever will talk to me (this means grad students, the public, researchers outside of the field, and if I'm lucky, the PI's I want to work with). Do it because you love the work, not because you're trying to market yourself to someone.
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All in all though, all of the above is supposed to show that if you really want to do it, don't give up. Every time you apply you will get better. If you keep working on research in the field, going to conferences, people will start associating you with your work, which will be a big draw b/c you can demonstrate how awesome you are, instead of making them take a gamble on how well you will do. You are already way better off than I was when I first applied :-)