Kevin,
Thanks for the clarification. I think I found the field type you are looking for. Please see steps below on how I was able to do this.
1- Make sure to set the proper Preference Set of the template you wish to update
(see link below on how to do this)
Customizing & Saving Detail Templates
2- Type "Field" into the commandline and filter the Field Category to "Date & Time"
3- Select "CreateDate" from the Field Names column and set the desired date format to your liking
(I picked a format that showed month, day, year, and time)
4- Place that field into your template and use match properties (or manually set things) to match the format of the text style/non plot layer settings to your liking
(don't worry about what the field says at this point)
5- Save changes and close the detail template
6- Place the template around what you want to save as a new detail
(the field will be blank at this point)
7- Use the save detail tools to save the detail into the system
(the newly saved detail file will get the proper time stamp)
8- Within your project file, place the detail onto your sheet and you should see the time stamp with the created date. However, in my testing I did see that when initially placing the detail onto the sheet, the field was blank. Editing that source detail, saving it, then clicking the "Update Details" button did regen that field to show proper. Still trying to figure out why that is... but it is there.
Let me know how that goes for you and we can take things from there if needed.