Hoot,
The two rounded tips of hose gripping pliers are used to grab onto the ends of old automotive rubber hoses such as radiator hoses and fuel filter hoses that need to be replaced. Unfortunately, many times these old hoses are really stuck in place. I use these pliers even if I can reach the hose with my hands because the pliers provide you with so much leverage. A good tool to complement hose gripper pliers is a long, hose pick set such as the following:
http://www.sjdiscounttools.com/ta13820.html. Sometimes, if the old hose is really stuck on a hose inlet or outlet in the engine compartment after using gripper pliers, it is necessary to begin the removal process with the hose picker. Score the entire inner circumference of the old hose end with the sharp tip of the hose picker. Then, wedge the end of the hose picker on one side of the hose and pull. If you were able to move that side of the hose, repeat again with the hose picker on the other side of the hose. If movement was achieved on both sides of the hose, use the hose gripper pliers to completely remove the old hose. The hose gripper pliers also make it use to install the new hose in the engine compartment. Before installing the new hose, apply a product called "Sil-Glyde" (available at NAPA and other automotive parts stores) on the inside edge of both ends of the new hose. The silicone lubricate makes it easier to install the new hose.