Two real job titles from UK universities:
Deputy Pro Vice-Chancellor
Associate Executive Pro-Vice-Chancellor
The hyphenation is is very variable. One poor sod is described as an “Associate Executive Pro-Vice Chancellor”, which is just about the worst possible of the large number of hyphen placements possible between those five words.
I think this reflects the idea that “pro-vice-chancellor” is now seen as a single unit concept, not as a deputy-of-a-deputy-of. Indeed, spelling out the phrase is very rare; they are almost invariably referred to as “PVCs”, which provides much confusion and amusement outwith the academy.