When creating an account on a website and the browser plugin pops up, asking if you want to save the password for that site, there is no way to edit the Name for that username/password set.
I have multiple accounts at various websites, due to supporting a number of clients, so I need to customise the name for each username/password set, otherwise when I go to log in, Last Pass just shows a list of 'username/password set Names', and all the Names are the same.