When editing a NetCommunity page, the gear icons are missing. As so, you are unable to edit the parts on the page, while in edit mode in the page.
Typically, this is the result of a design customization which is interfering with the functionality of the NetCommunity site. Please consult a designer to review the site further. You may consider reviewing the developer console in the browser, using the Console tab, to check for errors and diagnose them.