Methods, cleavers, and packagings for cleaving an optical fiber using an abrasive medium are disclosed. The abrasive medium may be placed into contact with an optical fiber to induce a flaw in the optical fiber. The optical fiber is broken about the induced flaw to create an end face for fiber optic termination preparations. In one embodiment, a method for cleaving an optical fiber without employing a blade is provided. The method includes providing an optical fiber. A flaw is created in a portion of the optical fiber using a bladeless cleaver comprised of a body and a cleaver structure attached to the body. The cleaver structure is configured to actuate to place an abrasive medium in contact with the portion of the optical fiber to create a flaw in the optical fiber. The method further includes breaking the optical fiber at the flaw to create an end face.