The phrase "acquaintance distance" is correct and usable in written English.
It can be used to describe the level of familiarity or emotional closeness between individuals who are not close friends but know each other to some extent.
Example: "At the party, I felt comfortable talking to my colleagues, but there was still an acquaintance distance that kept our conversations light and casual."
Alternatives: "social distance" or "familiarity gap".
In the same way, first-time visitors will find that everything is just a little bit off in Barcelona similar to when you think you recognize an acquaintance at a distance, but then blink your eyes and see it's not that person at all.
He dialed his wife, Leyla Karimli, from his lawyer's car, and when she asked where he was, he said, "I'm calling from freedom!" Reporters were waiting for interviews, but many acquaintances kept their distance, he said.
Maxwell's death left behind a trail of chaos, misled advisers, stunned family members, quickly distanced acquaintances and perplexed staff.
My acquaintance looked off into the distance, and with an air both sad and contemptuous replied, "Yes, it is the old dirigisme".
Shulem Deen, in the Jewish online magazine Tablet, has written a sensitive piece about a Hasidic acquaintance who committed suicide after distancing herself from ultra-Orthodoxy and being kept from seeing her children, a situation that mirrors Deen's own.
Even if there is no object between a chair and a table, the space between them is composed of other spaces, and in virtue of this we can compare different spaces or distances quantitatively; in contrast, acquaintance with something is not composed of further relations, and so different relations of acquaintance cannot be compared quantitatively in a parallel way.
Meeting someone new is exciting, but new friends and acquaintances must be kept at a distance initially.
My new friend and I were building our acquaintance while dance music throbbed in the distance.
For example, the probability that an individual (termed the "ego") and his/her acquaintance (termed the "alter") are jointly obese decreases with geodesic distance (i.e., the number of sequential steps that link two nodes).
If I'm walking toward someone from a distance — the host at a restaurant, say, or an acquaintance on a subway platform — I start a smile with my head tilted down, staring along my brows.
