The product used to coat and secure fabric wraps to the natural nail and nail tip is:

The product used to coat and secure fabric wraps to the natural nail and nail tip is commonly known as wrap resin. Wrap resin functions as an adhesive, providing a strong bond between the fabric wrap and the nail surface. It ensures that the wrap stays in place, preventing any lifting or peeling that could compromise the integrity of the manicure. Wrap resin typically contains a polymer that hardens upon exposure to certain conditions, thereby creating a durable and secure finish.

While fabrics like woven linen can be used as part of the wrap itself, they do not provide the necessary adhesion required for securing the wrap to the nail. Chemical solutions may imply a variety of products but lack the specificity to refer directly to the adhesive used in this context. Therefore, wrap resin is the precise term that best describes the adhesive necessary for this application.