If you wish to insert date and time in Word to track time directly on your Word document more efficiently, this feature is readily available within Word. However, if you're not aware of it yet, you can follow the guidelines below.
The following article guides you on how to insert date and time in Word 2003, 2007, 2010, 2013.
Step 1: Firstly, position your cursor where you want to insert the date and time. Then, open the Date and Time dialog box.
Microsoft Word 2003
For Word 2003, select the Insert tab on the Ribbon and choose Date and Time from the drop-down menu.

Microsoft Word 2007, Office 2010, Office 2013
For Word 2007 onwards, select the Insert tab on the Ribbon, then choose Date and Time in the Text section.

Step 2: Once the Date and Time window appears, select the desired time and date formats from the Available formats section. There are various formats available for both date and time. If you only want to insert the date or time, choose the appropriate format for either date or time.
Next, choose the language for displaying date and time information in the Language section. If you want the date and time to update automatically based on your computer's date and time, check the box next to Update automatically.
Once you have finished setting up the date and time, select OK to insert them into Word.

This way, the date and time will be displayed according to the format you selected.

Note: You can insert dates, times at multiple locations within a Word document.

Therefore, by following the simple steps outlined in the article above, you can view time, dates directly on Word files.
Wishing you all success!