Handkerchief

A handkerchief is a small square of fabric that can be used for personal hygiene, such as blowing the nose or wiping one's hands. It is generally carried in a pocket and may be patterned.

Vice Admiral Kennelly used a handkerchief while aboard the USS Enterprise-D in 2368. (TNG: "Ensign Ro")

Arbazan Ambassador Taxco used a handkerchief during her visit aboard Deep Space 9 in 2369. (DS9: "The Forsaken")

When Commander Benjamin Sisko left Deep Space 9 to visit Bajor, he informed Li Nalas that Lieutenant Dax and Chief O'Brien can handle Ops and if he needed any further help, but Li made a joke and said he cannot sneeze without having anyone near him who is handling him a handkerchief. (DS9: "The Circle")

Keiko O'Brien once gave Miles a silk handkerchief scented with her perfume. (DS9: "Rivals")

Dabo girl M'Pella used a handkerchief during the interrogation by a Bajoran security deputy after a big brawl at Quark's. (DS9: "Behind the Lines")