I for one do read for myself. But I mostly only do a certain "type" of reading for myself. In general terms, I mostly do readings to help me with understanding myself, my abilities, my thoughts, motivations, and so forth. I use the Tarot for self-exploration I guess.
So, for example, I will be soon doing a reading for myself about a certain issue I am having at home - I'm not going to ask "what is the problem" (pretty much know that), or "what does the future hold" (this will come with my understanding) - rather, I will be asking "why do I feel the way I do?" By gaining some insight in the root of my own issues, I will gain insight in how to deal with those feelings and move ahead. Now, I will also be doing a reading for myself soon to help me with moving back into using the Tarot and picking up my spiritual journey (after a hiatus of a few years) - I will be doing a reading on what some of the root causes of my dropping it were, where I am now, and what I need to keep in mind as I move forward.
I find that the Tarot is a very useful tool for self-exploration. A way to focus myself in much the same way as meditating. And, in fact, I generally combine my Tarot readings for myself with meditations on what lessons I have learned (or need to learn) from the reading.
Do I always "get" the reading right away? Not always. Sometimes it may take some time and maybe even another reading (or more meditation) to help me clarify what it is I need to know. Sometimes, I do get like you and feel blocked regarding myself. In such a case, I make good notes of what cards I pulled, what the reading was about and any first impressions I might have had. Then, as Soaring Eagle suggests above, I'll revisit it later on.
Another type of self-reading I used to do on a fairly regular basis is a 3-card daily reading about what challenges I might face and what lessons to learn through the day. I've also done very good readings (using a layout I designed) for trainer-trainee relations when I had been assigned to train a new dispatcher (I've been a police dispatcher for 25+ years now).
One important thing that I do feel I should mention is that I do keep my self-readings relatively simple. I
do not use a Celtic Cross spread for myself (in fact I hardly use it at all). Rather the majority of my self-readings use only 1, 3 or 5 cards. I find that using shorter spreads, especially three-card spreads (which I find to be extremely adaptable), helps me to focus on the real heart of the matter. Back when I was first starting out, I almost completely discouraged myself by trying to use the CC for self readings. It was much too complex for me as a beginner and was extremely confusing for self-readings.
Perusing the "Tarot Spreads" forums (
http://www.tarotforum.net/forumdisplay.php?f=56) will get you some very good suggestions on easy to use spreads for personal growth and other self-readings. You can also see a lot of variations on 3 and 5-card spreads which should help you as well. As I said, 3-card spreads are very adaptable - let's say you want to do a reading about ... ... how to do readings for yourself! You could do it in a small pyramid, 1 card at the top, 2nd below to the left, third below to the right.
1st card; Basis of the blockage - what the blockage is.
2nd card; perhaps past influences (or maybe outside influences if you think there might be some).
3rd card; an aspect to work on so you can move forward.
As you can see, that would be much simpler to work with, easier to interpret and much easier for you to learn from. Such a 3-card reading can also be repeated more often, with excellent results, than a 10 or (in some cases) 11-card Celtic Cross. Such a reading can be repeated every few weeks, or even weekly, as you move forward and begin to work through the blockages. As with any Tarot reading (and as others have already mentioned), repeating the same reading too often may simply result in almost identical meanings, or in you forcing the cards to give the answer you want. However, as you work with the Tarot and connect with it more and become more in tune to yourself, you will find that you can repeat a reading like the one above as you progress and you may find it helping you to move on to other steps.
The hardest part in all of this is just learning to be objective about yourself. None of us is perfect, but even so, there is still strength and goodness in us too. I suspect that you may have started picking up the Tarot with some idea of improving yourself and/or helping others. Don't give up on that ... the Tarot is a wonderful tool to allow us to do just that. You just have to learn to listen to it.
If I may make the suggestion, if you can afford some $8 Aus., I highly recommend the Aeclectic Tarot "Tarot Spreads" e-book;
http://www.aeclectic.net/tarot/ebooks/spreads.shtml -- There is also the "Personal Growth Spreads" e-book for about $6 Aus.;
http://www.aeclectic.net/tarot/ebooks/personal_growth_spreads.shtml -- In fact, there are a few other e-books available for VERY reasonable prices from A.T.;
http://www.aeclectic.net/tarot/ebooks/ You'll get some extremely useful Tarot spreads and you'll be supporting the AT community - and no, I don't get anything from these books (though I did contribute one spread) - I just think they are excellent sources and excellent values.
I do hope this, rather over-long, reply has helped. Believe it or not, it has helped me.
Every time you ask a question, you learn. Every time you answer a question, you learn even more. I look forward to your answers ...