Hindsiclava pyrgoma is an extinct species of sea snail, a marine gastropod mollusc in the family Pseudomelatomidae, the turrids and allies.

[1] The length of the shell attains 35.5 mm, its diameter 10.5 mm.

Fossils of this marine species have been found in Miocene strata in Panama; age range: 7.246 to 5.332 Ma