Compsodrillia haliostrephis , common name the spindle drillia, is a species of sea snail, a marine gastropod mollusc in the family Pseudomelatomidae, the turrids and allies.

The spiral sculpture resembles much as in Compsodrillia eucosmia, a line marginating the suture.

The principal primaries are strongly marked and slightly swollen on the summits of the ribs.

The secondary spirals, very faint or absent behind the periphery but present in the interspaces in front of it, are finer than in the C. eucosmia, and more numerous.

The siphonal canal is wide, straight and rather long;.The penultimate whorl, contains 7 ribs, narrower and less prominent, as is the varix, than in C. eucosmia[2] C. haliostrephis can be found in the Gulf of Mexico, ranging from the coast of Louisiana south to Brazil.