How long have you been on a raw paleo diet? And what does your diet look like?
In my opinion, if you want to get rid of eczema, you should go low carb. That means eating mainly animal fat and (organ) meat and fish. Cut out eggs. The only fruit I would recommend are berries, and avocados if you like them.
Another huge factor is sunlight. Get as much sun exposure as possible when it is available. My eczema would sometimes miraculously disappear in summer, only to return again in the winter. Which brings me to my next point: (central) heating. I find that the use of central heating in the winter dries out the air, which dries out your skin. An air humidifier really helps with this.
I assume you've already ditched the soap, shampoo, deodorant and all the other usual shite that the average person uses. If not, do it now. There shouldnt be any need to shower so much, unless you are working in a mine or something.
Replace tap water with spring water (avoid plastic bottles).
If you smoke and/or drink, give it up.
Perhaps cod liver oil would be useful to boost your omega 3 levels.
Also, if you are using any medication from a doctor for your eczema, I would seriously consider stopping the use of it, because most (if not all) make the situation worse.
I used to have eczema all over my body, but now it's pretty much all gone. But if you have a bad case of eczema you should not expect it to go away over night; it took me about 2 years to get rid of mine, but having said that, it took me a while to figure out that low carb was key, as well as the importance of a humidifier in winter.
I also had asthma by the way. That disappeared very quickly after beginning a raw paleo diet; havn't used an inhaler in almost 3 years now.