Save emails from CM RM to Office 365 Outlook
Our Outlook Web Connect product integrates with the Outlook thick client and lets you drag and drop straight onto the web client
There is also an option to enable drag and drop from "Outlook on the web" (OWA) onto the web client which offers a full thin client solution
Have you looked at CM's EmailLink (fka ExchangeLink)? Since it interacts at the Exchange level, the links work from any environment where the user's account is accessed.
It works within Office 365.