permission to only edit
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I wanted to prevent the "copy to clipboard" function for one of my sites and eventually did this with css like this,
.ccm-menu-icon.ccm-icon-clipboard-menu {display:none !important }
This worked for me but it is "Global" and will hide that function for ALL users,
Similarly you can hide the "Area Layouts" and Custom Design" by putting this in your root/config/site.php file,
In case it saves someone a bit of time, the CSS to hide the other menu items apart from edit is.
.ccm-menu-icon.ccm-icon-clipboard-menu, .ccm-icon-move-menu, .ccm-icon-delete-menu, .ccm-icon-custom-template-menu {display:none !important }
It will interesting if anyone has a solution that could be applied at group level.
<a href="javascript:void(0)" data-menu-action="block_scrapbook" data-token="1459765231:3128fb47cd5c0dddc7212582e266aceb">Copy to Clipboard</a>