There are some covers that are designed to be tacky and non-slip. I don't mean non-slip as in "sandy" or "gritty" but as in tacky but they make no mess on your hands. I have seen this most often on motorcycle handlebar grips but that may be what you have. Your cure, in that case, would be to rep;ace the cover with a non-sticky cover. Contact whomever you purchased it from to verify if it or is not supposed to be sticky.
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