Compsodrillia petersoni is a species of sea snail, a marine gastropod mollusk in the family Pseudomelatomidae.
The protoconch contains 2.5 whorls, the first two well rounded, smooth, the last half crossed by a number of distantly spaced axial riblets.
These ribs and the spaces that separate them are marked by lines of growth, which also extend across the posterior sulcus and over the base and columella and give to the general surface a finely reticulated clothlike sculpture.
The outer lip bears a strong varix one fifth of a turn behind its edge, and beyond this is drawn into a clawlike element, which bends in very slightly toward the aperture.
The inner lip is strongly developed and projects considerably beyond the columella and extends as a rather thickened callus over the parietal wall, forming a decided knob at the termination of the posterior angle of the aperture.