Hey alex, I use skin brushing whenever I have an eczema breakout, but I also always do a Bowel Cleanse with psyllium and Bentonite at the same time. I do feel that the skin brushing really helps to exfoliate the thick skin caused by eczema. It is also really important to take frequent(at least 2 a day) showers, or even better is Epsom Salt baths. See the bath forum for more info on those.
I do not believe that skin brushing alone would cure eczema because it comes from within. You have to figure out what is triggering it. For me, soft drinks is a huge factor. But I can say that since I did my first bowel cleanse, which lasted about 6 weeks, my eczema is pretty much gone. I did have a couple of flare ups since then, but I just did the skin brushing and cleansing again and have not had any problems since. So I highly recommend a bowel cleanse.