Additional chat-related features and issues within Microsoft Teams for business
I do have the Enterprise license, but it seems there are still limitations. For example, if I want to save a message from a "Chat", I do have "More Options" and can choose "Create Task". However, if I want to save a message from a "Team" discussion, those options do not display.
This is what it looks like if I right-click on a message in a "chat":