Neighbors can be crazy, but this seems a bit hard to believe that the OP didn't do something. They didn't say the didn't do it just that there was no proof found. Odd way to phrase it. Did OP ever threaten the daughter in a fashion joking or otherwise you might have taken it seriously?

Oh wow. Sounds like a crazy family

Sue him for wrongful conviction.

Or just, you know, never date your neighbor's daughter?

Whelp, off to the courtroom!

I'd say defiantly sue him and the cops. Sue him for false accusation and sue the cops for false arrest.

How old are you, how old is he, and how old is his daughter? If you're closer to his age than hers, YDI. If not, FYL.

Hate to join the idiot crowd here of overly litigious people, but I would probably sue him at that point. You don't get someone hauled off to the police station on falsified claims of assault as that could go on your record and cause you to have trouble finding a job. If you don't even own, nor have you ever bought a gun, the case is open and shut. That will teach him a lesson so he doesn't pull another stunt like this on the next guy who dumps his daughter...or parks in his parking space, or whatever sets him off next.

Well at least you were only mildly inconvenienced and not murdered by the police based on a false claim. #RIPJohnCrawfordIII

Obviously you can't be indeited for that because there is no proof. While you can be questioned, just an accusation can't be probable cause or else people can be arrested with zero evidence, in which case there would be no grand jury or court system.