No, the 'Search' module cannot be used with saved searches. Sideview Utils does package another module called 'SavedSearch', but it doesnt talk about it in the documentation because it's not quite finished. That's because while the SavedSearch module takes a saved search name as a param instead of a literal search string, it has no ability yet to retrieve the last-known-scheduled-job. That ability will come in a future release, and I'll document the module then.
For now I would just use the Splunk core module 'HiddenSavedSearch'. Unless you need to do $foo$ substitution into the saved search name, the Sideview module doesnt offer much of a benefit over its Splunk counterpart.
And if you ever want to see all the modules and read the more reference-type documentation that come with all of them, go to http://<your host and port>/modules. The Sideview modules get blended in with all the core Splunk modules, but if you and search through the page for "sideview_utils" you'll be able to read about them all, (even the ones whose module reference docs say 'this is a prototype!!'. And the docs for Splunk's "HiddenSavedSearch" module are there too.
