Fairing Cap
The Little Gripper can be built as part of a rocket where it stacks docking port side up. This way anything you can attach a small stage to can be attached to a space station. This works similar to how you can dock a small stage with a crew capsule on top.For example if you want to have a Soyuz second stage power your space ship, you can add a Little Gripper to the top of it instead of a crew capsule.
In this mode the Little Gripper can transfer power and fuel to the rocket. These connections can get hooked up while vehicle is still on the ground. It can't transfer atmosphere.
Mount
The other way the Little Gripper can be used is secure a part without a docking port (or just without one in the right place) to an existing structure. First, the Little Gripper is docked to an existing structure. Then the Little Gripper is powered on. The exterior face of the Little Gripper works similar to the tip of the CSgtarm. It has magnetic and suction attachments to be able to securely hold on to anything it is touching when the power is turned on.
The limitation with this mode is that it doesn't support fuel, air, or power connections. It just hold the part in place and allows cargo to be transferred.