The Boss's Legacy - Tightened Bandana

In Tselinoyarsk, 1964, Naked Snake dueled his former master The Boss, before being thrown into the river below the Dolinovodno bridge. Just before he fell, Snake grabbed and pulled The Boss's bandana from her head, and later used it as a sling for his broken arm.

When meeting The Boss again, during Operation Snake Eater, she scolded Snake for wearing it and clinging to their former relationship as mentor and student. Subtly attempting to prepare Snake for what she knew would happen, she told him to let go of the past as well as the bandana, and accept her as his enemy. Snake did neither.

Big Boss removed it to the winds over Lake Nicaragua after coming to terms with her death in 1974, the bandana eventually settling on the lake.

Strangelove later salvaged The Boss's bandana when she came to retrieve the Mammal Pod from Lake Nicaragua, and later had it repaired, largely because she still ultimately had romantic feelings for The Boss.

The Diamond Dogs would later discover it along with her corpse in the Mammal Pod. Following this, the bandana would be worn by Venom Snake.

from Metal Gear Wiki

Thanks to Bailey for the title name