A method of securing a layer of fabric or paper on and around the nail tip for strength is called a:

The method being described involves reinforcing the nail tip with a layer of material that provides strength and durability. This process is known as a nail wrap. Nail wraps can be made from various materials, including silk, linen, or fiberglass, and are applied over the nail tip and surrounding areas to create a stronger structure. This technique is important for those who want to extend the life of their manicure or provide additional support to weak or damaged nails.

Using nail wraps can help in situations where the natural nail is prone to breakage or requires extra protection from daily activities. The choice of material can affect the flexibility and durability of the wrap, making it essential for nail technicians to choose the right type depending on their client's needs.

The other options, while related to nails, do not specifically describe this particular method of applying a layer of material to enhance strength around the nail tip.