You can create new reviews on the basis of a previous review. This allows to retain some information from the previous review (list of participants, custom field values, review materials and so forth).
Open the review you want to copy in the Review Screen.
In the ensuing pop-up dialog, specify the title for the new review and select what information to copy from the previous review: Participants, Review Custom Fields, Participant Custom Fields, Materials, Remote System Links.
Note: When copying remote system links, Collaborator does not copy links to closed items. Also, this functionality acts independently from the template's Automatically Add Remote System Links settings which parse the review's title, custom fields, comments for links to remote systems and append them to the review's Remote System Links section.
Once created, your existing subscriptions will apply to a new review. This may result in new participants be added to the review which were not part of the original review.
Alternatively, you can copy a previous review using Command-Line Client (ccollab admin review copy), using the JSON API (ReviewService.copy) or from the Review Screen of Visual Studio Extension.