Wait Here is an action performed by pressing the appropriate button.
Wait Here is an action for asking a specific clan member to stop following you.
Only adults and elders will show this action as babies need to be dropped using the Drop Child action.
To have a single clan member stop following you, move to them and the Wait Here action will appear. Press the appropriate button and that member will stop following you.
To have all clan members stop following you, stop moving and the End Expedition action will appear. Press the appropriate button and all clan members following you will stop following you.