L. eremophilum is known only from the type location in Witpütz, Namibia, where it can be found growing on quartzite outcrops in dwarf succulent shrubland.

The stems grow upright, often branching, and measure 5–10 mm (0.20–0.39 in) long, though much of that length may be buried.

The leaves are oblong-acuminate, each measuring 0.8–1.2 mm (0.031–0.047 in) long, with a pointed, translucent tip and smooth, toothless margins.

[2] L. eremophilum is listed as vulnerable by the International Union for Conservation of Nature under criterion D2, based on its extremely limited distribution.

The single location at which L. eremophilum is present is threatened by habitat degradation resulting from mining activity in the area.