For what it's worth, people are doing job candidate clustering anyway right now. It's just that most people are doing it with keyword search or something.

Doing it with embeddings instead would probably increase the quality of the clustering at the cost of some interpretability. (i.e. you wouldn't be able to say "We didn't show your resume to this employer because it didn't contain both the word "Java" and the word "Agile", but maybe that's a good thing).

It's sort of a hard philosophical question how much you care about transparency/interpretability vs. quality, especially for socially important tasks like hiring.