Perspiration will affect all makeup prosthetic adhesives, and Skin Tite® is no exception. Using a barrier on the skin such as Premiere Products Top Guard or Michael Davy's Sweat Stop before using Skin Tite will help adhesion.
Another recommendation is to wait until the Skin Tite silicone is more fully cured before applying the piece. Often times people apply the piece when Skin Tite is uncured, causing their model to begin to perspire right away. Waiting a few minutes until Skin Tite is more cured can help.