When the "Auto-name Files" option is enabled, you can add a date to the file name by checking on the "Include Date" option.
Auto-name Settings - Include Date
The date format can be selected to the right of the option, and available formats include:
•Month-Day - abbr. names
•Month Only - numeral
•Month Only - abbr. name
•Day in Week - abbr. name
The "Sample File Name" listed at the bottom of the window is updated to show the resulting file name based on the options selected. This option can be combined with any of the other auto-name options.