public class UpdateFinalField {
    final int f;
    final Runnable updater;

    UpdateFinalField() {
        updater = () -> { f = 1; };
        f = 0;
    }

    public static void main(String[] args) {
        UpdateFinalField u = new UpdateFinalField();
        System.out.println("u.f = " + u.f);
        u.updater.run();
        System.out.println("u.f = " + u.f);
    }
}

$ jdk.8u131/bin/javac -d classes.8 UpdateFinalField

$ jdk.8u131/bin/java -cp classes.8 UpdateFinalField
u.f = 0
u.f = 1

$ jdk.9/bin/java -cp classes.8 UpdateFinalField
u.f = 0
u.f = 1

$ jdk.9/bin/javac -d classes.9 UpdateFinalField

$ jdk.9/bin/java -cp classes.9 UpdateFinalField
u.f = 0
Exception in thread "main" java.lang.IllegalAccessError: Update to non-static final field UpdateFinalField.f attempted from a different method (lambda$new$0) than the initializer method <init>
at UpdateFinalField.lambda$new$0(UpdateFinalField.java:6)
at UpdateFinalField.main(UpdateFinalField.java:13)