As per this, I have seen the autonym of Javanese has been effective. It can be seen on the language selector on the right side of page. However, I still find in another place that it hasn't changed, the language selector on the top of a page.
When I open the Wikimedia Incubator and translatewiki.net, I can still see the Javanese language is still written "Basa Jawa", instead of "Jawa". Below is a screenshot from the Wikimedia Incubator I took just now.