No, cocoa butter is generally not considered sticky.
Cocoa butter, especially unrefined cocoa butter, is solid at room temperature and tends to feel more brittle and dry to the touch. While it does soften and melt upon contact with your skin due to your body temperature, it doesn't typically leave a sticky residue. Its consistency is more akin to a smooth, emollient balm that absorbs reasonably well, unlike shea butter, which can sometimes feel sticky.
In summary, while cocoa butter might feel slightly oily when melted, its overall texture is not typically described as sticky.
