I have previously used jQuery to hide the Suitebar links in SP 2013. This was on-prem install. When I try in Office 365, it seems to ignore the code.
//Neither of these work:
$("span:contains('OneDrive')").css('display', 'none');
document.getElementById("suiteLinksBox").style.visibility = "hidden";
Also, I tried doing this through the Admin center but it doesn't hide anything. Why not?
http://joshuakirchmeier.com/2014/06/02/hiding-suite-bar-links-sharepoint-online-office-365/