Once upon a time all mortgage lending was local. The big Kahuna in California was the Savings and Loan Commissioner. While there was no licensing at the time, the Commissioner established four levels of competence: I - trainee, II - journey level house appraiser, III - any house and some multiple family, IV - ok to appraise anything. This is roughly replicated in present day licensing.
The interesting difference, however, is that no appraiser "owned" that certification. His or her employer applied to the Commissioner to have their work accepted at a particular level. Thus, if an appraiser worked at an institution which failed, his next employer might find that while they thought they had hired a Class IV, the Commissioner would only accept that person as a III. Classifications could also be revised in the event that a quality control audit, also periodically performed by the Commissioner, indicated a problem.
The system ultimately failed, but only after the S&Ls' charter was expanded to allow commercial and commercial development lending. Even Class IVs lacked the experience and training to do that well.
So, why not do something similar with licensing? If the appraiser is employed by an institution which fails either while they are there, or within, maybe, a year of their leaving, their license gets taken down a notch for some period of time... (Oh, no surprise that I won't be serving on the Appraisal Qualifications Board of the Appraisal Foundation...)