Striping fiber optic cable isn’t a job for a pair of wire strippers. You need special strippers that allow you to precisely remove the correct cable layers for the job. Paladin tools manufactures one such stripper — the FiverOptic 5-in-1 stripper.
In order to understand what this tool does, a description of the structure of a fiber optic cable might be helpful — I’m not an expert, so if I get something wrong here please let me know. Generally, a cable with a single fiber consists of the core made from silica, quartz, or plastic covered with a cladding that is also part of the optical path made from acrylate or another material. A buffer surrounds the cladding and separates the fibers in cables with multiple fibers. Finally, an outer jacket wraps around the cable to protect it.
Paladin designed FiverOptic to remove the outer jacket from 2.0-3.0mm cables, the buffer from the cable without removing the acrylate (cladding), or the buffer and the cladding from 800/125um and 250/125um fiber. They embedded the handles in rubber for comfort and made them lock to protect the CNC-formed and factory calibrated cutting edges from damage.
A pair of these strippers will run you at least $40.