In ArcMap and ArcGIS Pro, when you run a Geoprocessing tool the details of that run are stored in the Geoprocessing Results or History and that prior run can be reviewed and rerun in the future without having to set all of the parameters.
In ArcGIS Online this called Analysis. However, there does not appear to be any Analysis History, yet, in ArcGIS Online.
Are there plans to add an Analysis History to ArcGIS Online?
If so, when?
Thanks for posting on GeoNet. This is a great suggestion that could be converted into an enhancement. I'd recommend posting this on our Ideas page (https://ideas.arcgis.com) for more visibility. If you're an authorized caller, you can also open a support case and request to have an enhancement logged within our system for this, so you can continue to track it on your My Esri.
Hope it helps!