It was announced this week that Access Services is going to be retired.
Details of the announcement may be found here: Updating the Access Services in SharePoint Roadmap
Additional timeline information along with possible methods for exporting your data out of an Access web app may be found here: Access web apps no longer supported
While these articles discuss Access web apps that are provided with Access Services 2013/2016, this retirement also affects Access Web Databases provided with Access Services 2010.
In the coming months, we intend to share any tips/tricks/gotchas discovered while assisting customers through this time of transition exporting their data and finding replacement solutions.