Whenever I share something (could be a screen capture image, pdf, etc) to DTTG, it freezes for a few seconds. Actually, it is more than a few seconds. Typically more than 10 seconds, could be as long as 20 seconds.
Just out of curiosity: When did it freeze for a few seconds: when opening the Share menu in, e.g., Safari or after dismissing the Clip to DEVONthink panel of the Share menu (means: when the file is actually sent to the database)?
With version 3.6.3 we modernized the way Clip to DEVONthink sends data to DEVONthink To Go. Before, it saved temporary files that were then picked up by the main app when you opened it. This sometimes caused data loss when the temporary file was, for whatever reasons, gone or otherwise unreadable. Now, the extension directly accesses the same data store as the main app which could, so it seems, block out the extension.