You can achieve this with an automation that is set up to update a column when another changes. This is how it would look:
Here's a table that includes a column to store when it was last updated:
Now create an automation, and set up a trigger when a particular column changes:
For the action, have it write NOW() to the column that tracks when it was updated:
Publish the automation. Now when you make a change to the column, you'll see the timestamp change as well:
Keep in mind that time in Honeycode is in UTC, so here's how you can write your time formula to convert to a desired timezone: UTC & Time Zone Conversion
Hope this helps! Let us know if you have any other questions.