In After Effects 6.5, Adobe introduced Incremental saves. Rather than waiting for the auto-save to catch the latest revision to your project, incremental save allows you to manually save a new file, incrementing the name of your project in numeric integers. CINEMA 4D does the same. And with a little configuration, you can make it act exactly the same as in After Effects.
Have an iPhone? Check out all 200+ new features coming in iOS 13.