May I ask what you fear about basic details.
I realise sharing name and address could be problematic.
But broader details about the city I live in, marital status or parental status, or the football team I follow etc... is there a risk that I'm not aware of?
If you were to give out all that information, even in separate posts, then narrowing it down to a few individuals would be possible, and finding you in real life is highly plausible, after confirming things like your location and times of posts. It really depends on who is looking for you and how hard they want to look. A few drops of specific information like you mentioned, paired with the nuanced information you don't even realize you drop (like speech patterns, ip address, cultural information, approximate age, and perceived intellect), makes tracking you down real easy if someone really wants to find you.
Will your neighbor posting here put two-and-two together? Probably not. Will the government be able to find you if you say something they deem requires intervention? Almost immediately, though, if you are a security-conscious computer-wizard, then it would be delayed but certainly it would be immediate once the subpoena is enforced. Will a stranger on here be able to visit you? If they have ill intentions, spare money, and target you with a special interest, it could take a few days, weeks, or months until they narrow it down enough to be sure and show up on your doorstep, depending on how much you've shared, but if they are determined, they will find you.
It would be super easy if you had, say, a social media profile that was never set to "private" with your city listed and you had interacted with a post about your sports team. If anyone you knew had read your ss posts, they would go "I know someone who fits this description", but for a stranger, they might have to weed out all other profiles that fit the description and take a best guess and track you for some time to ensure accuracy in their analysis.
If your favorite sports team is unpopular or your state is not where your sports team is from, the number of data matches are smaller and easier to find.
Pictures often have hidden metadata, personal electronics track your location, social media creates data profiles, public wifi can leave your internet activities vulnerable to be intercepted, security cameras can track and pinpoint your behaviors and intentions, etc. We live in a connected world filled with purchasable data and software that can quickly analyze it. All you need is one vulnerability to access similar data points to make a connection, and once you have that connection, you can find millions of data points to analyze the relation.
There are people on here who especially don't want to be found by others who are abusive and actively looking for them, and for those people, it is a very high risk to be identified. Everyone else still runs the risk that a stranger with bad intentions could see them as a vulnerable target.
Why chance it? If you don't want your use of ss linked to yourself, because these are private thoughts and there are dangerous people, don't give any personally-identifiable or specific information, even if it seems insignificant.
Do you have compromising private chats on here?
Anything can be compromising, but I would guess that you are asking about contact information. No, I don't give out my contact information.