I thought for a time that pencils like these were a version of carpenter’s pencils, owing to their shape. But they’re not—they are designed to be carried comfortably in a vest pocket, and unlike carpenter’s pencils, can more or less fit into a regular sharpener.
Eberhard Faber still called this a clamp eraser, even though the shape of the clip is a bit different. This one has fused to the tube and I think pulling any harder (or pushing from the inside) will likely damage it—I’d still like to see it though.
They are handy pencils and easy to write with (carpentry notwithstanding). Now to find some refills.
After some more persuading and cleaning, the eraser and clip: