You can use "Keep last" xx old versions feature under the "How?" tab of the profile to store up to 25 old versions. You can get to the "How?" tab when you select the Custom setup for the profile.
If you want to store more than 25 old versions or by date, you can use the built-in feature of Directory Macro Expansion.
Using Directory Macro Expansion you can automatically create folders based on the current date or time and define them at the destination specification to copy files by date and time.
Example: On September 5th 2007, a folder name C:\Backup\$Date$ will expand to C:\Backup\20070905.
Or you can use Second Copy to compress files and use the built-in Directory Macro Expansion feature. Using Directory Macro Expansion you can automatically create filenames of the zip files based on the current date or time. Second Copy names the zip file at the destination after the name of the profile. Therefore, you can name the profile (or rename the existing profile) using the Directory Macro Expansion feature. e.g. the profile name may look like "mybackup-$date$" or "mybackup-$time$. Please refer to the Help file for more options on Directory Macro Expansion.