Time and Date for If a Field was Changed?

No problem,

Create a date field called [Status Change Date].

If 100% of your data entry is done one by one on a form then you can set up a Dynamic Form Rule that says

When the record is saved
and 
The Status has Changed
Action

Change the value if the field [Status Change Date] to "the current date".

Or, if any of your edits are done by grid edit or by some kind of data import than form rules will not work. Forum rules only work when the data entries on forms. In that case you will need to set up an automation or a pipeline to do this. It is probably easiest to set up a automation even though they're being phased out and then use the migration tool to change it into a pipeline.

Feel free to post back if you have any questions.