The Large Klein Tool is the industry standard and used by riggers to haul steel cable.
Made by Klein, its actual name is a "Haven Grip." The large size is used for cable from 1/8" to 1/2" diameter. It also has a locking device to keep the cable from slipping out.
The small Klein Tool is used for cable from 1/16" to 1/4" diameter. This is a non-locking cable puller.