Incapable of being measured or sounded with a plummet or lead-line; unfathomable.
The Century Dictionary (Public Domain)
Use "plumbless" in a sentence
"With his unbending, utilitarian, matter – of – fact face, he hardened her again; and the moment shot away into the plumbless depths of the past, to mingle with all the lost opportunities that are drowned there."
"His dark eyes were large, beautiful with plumbless wisdom."
"Seeing them, the Savage made a grimace; but he was to become reconciled to them in course of time; for at night they twinkled gaily with geometrical constellations, or else, flood-lighted, pointed their luminous fingers (with a gesture whose significance nobody in England but the Savage now understood) solemnly towards the plumbless mysteries of heaven."