Is possible auto-refresh the Shared Links sidebar in Safari 7?
This has been fixed in Safari 7.0.1 (which is included in OS X 10.9.1):

About the update
The OS X Mavericks v10.9.1 Update is recommended for all OS X Mavericks users. It improves the stability, compatibility, and security of your Mac. This update includes:
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Includes Safari 7.0.1

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Updates Shared Links periodically when open in the Safari Sidebar





Source: About the OS X Mavericks v10.9.1 Update