The condition of being an inspector; the office of an inspector(noun)
Wiktionary.org : Text is available under the Creative Commons Attribution-ShareAlike License
Use "inspectorship" in a sentence
"We shall get thee out of the army, appoint thee to the police bureau, and procure for thee an inspectorship of customs; and, in fine, allow thee to move in a better sphere than that in which"
"Unless it is formidably resourced, not likely in the current climate, what we will have, in reality, is a harassed inspectorship scurrying to keep up, and meeting silence and a closing of police ranks at every turn."
"Striving towards inspectorship, Brian Holmes would find himself working still longer hours."