I have only been a lastpass user since July of 2018 (8 months) so I do not know off hand when these features were implemented or how long they were available before I joined. As far as I know, I have been using all of these features from day one of my subscription so I don't understand Nicoloss's comment above me from Mon Dec 10, 2018 complaining about something I am 99% certain was already there.
From the time of his comment, There are numerous reprompt, auto logout, auto login to site if last login to site was less than X seconds, settings in the Extension Options via browser icon toolbar and Account Settings in vault.
What I don't get is why everyone is bitching about needing a feature to skip Lastpass master password re-prompts while at the same time wanting to to keep Lastpass master password re-prompts enabled for the specific action they want to skip. Dude, if you have master pw re-prompts checked for changing Identities, or accessing secured notes, etc, then how in the hell are you expecting to skip re-prompts for that action? It doesn't make sense.
Just keep all master pw re-prompt boxes unchecked in the vault's > account settings > Alerts section and tweak your other login, re-prompt, logoff settings instead. It is very easy to set it up so that Lastpass logs off when closing browser, logging in from a different device, logging out after idle, skip re-prompts for a site within X amount of time, share login status between browsers. Nobody gets into my lastpass and I dont use reprompt settings for my master password and it is the most secure app/ tool I use. Master pw re-prompts are unnecessary if you are trying to secure a mia device. You can delete it from authenticated devices with multifactor authentication rules and many other settings which prove to be way more useful without being completely annoying and unnecessary.