There's already a feature request for this:
https://github.com/rzwitserloot/lombok/issues/674
And there have been several discussions, e.g.,
Even the name has been discussed and found not perfect as @Validator has tons of meanings unrelated to construction and as they're other things unrelated to validations you may want to use it for.
Some other proposal might have been @AfterConstruct, which doesn't fit the part about invocation after setters. I guess, @Init sounds better. Concerning the invocation after setters, it could be @Init(alsoAfterSetters=boolean), with false being the default.
A combo like @AfterConstruct and @AfterSetter could be nice, but these are two annotations in place of one.
The real problem is not the name, but the low priority. If only someone could pick it up (I currently can't and hacking on Lombok is not easy for me)....