CoolSculpting by Zeltiq is FDA approved for fat reduction of the belly and love handles. It can, however be used off label for areas such as the arms, back, bra fat, inner thighs, etc. As far as the arms go, the flabbiness can be caused either by fat, loose skin, or loose muscle. If your flabby arms are because of excess arm fat then CoolSculpting can be used to treat the area. The results of CoolSculpting to the arms is not as drastic as the abdomen or love handles, but it can provide a nice contour to the shape of your arms. It's important that you get a CoolSculpting consultation from someone experienced in treating the arms to see if you are a candidate.