с глазу на глаз
I don't think глазу is in genitive. Is глазу́ in locative and with an accent in the last syllable, although с is usually combined with genitive?
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It actually is genitive and the stress is on the first syllable:
The genitive ending -у is retained in quite a few set expressions such as
Stressed prepositions and particles are also signs of a well-established expression or just a frequently-used collocation: