The flushes, though they clear out the liver, they are also a little rough of the liver. In addition, if you wait 2 weeks in between flushes, you will get more stones when you do a flush. It takes a while for the next batch of stones to roll out of congested storage and in to position in the biliary ducts so they can be flushed. I personnally have experiemented with doing flushes at 1 and 2 and 4 weeks apart. I can tell you that sometimes I would get NO STONES when I did a Liver Flush just a week after a liver flush. Then, bummed, I waited 2 weeks and had a nice productive flush.
The flushes clean out the liver but don't do anything to help the liver repair/rebuild. Which is a reason for waiting 2 weeks in between also. Eczema, though extremely aggravating, is not life threatening, therefore I would stick to doing the flushes every 2 or more weeks. By the fact that you have significant eczema, it tells me that your liver is compromised. Doing weekly flushes could be exhausting for it.