time taken for smart group updating
there is also a link at civicrm/group?reset=1 where you can 'update smart group counts' which uses this path /civicrm/group?reset=1&amp;update_smart_groups=1 so you could probably put a Menu item in with that destination if it is something that you need to do frequently.

There is also a setting at civicrm/admin/setting/search?reset=1 where you can reduce the "Smart group cache timeout" (The number of minutes to cache smart group contacts. We strongly recommend that this value be greater than zero, since a value of zero means no caching at all. If your contact data changes frequently, you should set this value to at least 5 minutes.)