[1] The holotype specimen is composed of a mostly complete worker caste adult female which has been preserved as an inclusion in a transparent chunk of clear yellow Canadian amber.

Analysis of the amber composition indicates it originated as cupressaceous resins which were deposited in lagoons and salt water marshes along the Western Interior Seaway.

[1] Haidoterminus is one of five ant species described from the Grassy Lake site, the others being Sphecomyrma canadensis, Eotapinoma macalpini, Canapone dentata, and Cananeuretus occidentalis.

The specific epithet cippus, from the Latin for "tombstone or pillar", references the clypeal pads' distinct columnar appearance.

The holotype is overall approximately 3.2 millimetres (0.13 in) with small oval shaped compound eyes made up of a larger ommatidia in low numbers.