This is just a matter of curiosity; I was thinking about a scifi story.
By "Isolated", I mean that if for every star (or binary) we found the distance to its closest neighboring star, then which one would be the furthest from its closest neighbor?
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From a comment by barrycarter:
In our galaxy, it might be CX330, which is 1000 light years from any star-forming region, much less any star. However, the article describes it as "Loneliest Young Star", so there may be older stars that are even more isolated. This source contains the phrase "CX330 [...] has been described as the galaxy's loneliest star.", but this may just be bad reporting.
I don't think anyone knows the answer to this! People have only recently started looking at the Gaia catalogues and they contain so much data that most of it won't get looked at unless it is in an interesting area. Astronomers have started combing through the data seeing what we can find in our favourite regions but most people focus on the more densely populated areas (clusters and places where stars are forming) rather than the mainly empty areas (probably older stars not interacting with each other).
So I think this is something you could find in the catalogue, the information does exist, but no one is particularly interested in spending a lot of time looking for it because we won't learn much from those regions.