Funny you ask about the "Slates" or the "clapper-type announcements"
I use to record on a reel to reel. The mixing board always had a slate/talk button that would put a quite, low tone under neath (App 100 htz). I would say "OK this is Page 2, Paragragh 3, Take 4." The talent knew to take a breath and start reading. I'd make notes on the script what was a good take. So when I was editing I could fast forward the tape and count the beeps. The low tone would fly by the playback head and make a "Pop". If I took good notes and the VO talent was good, I could edit a 10 minute piece in about 20 minutes. Using razor blades and tape.
Not sure how you youngins do it today with the new fangled computers and their apps....
The last audio session i did was 1992. I was using a DAT machine. I still recorded the slates, but DATs would number the takes and ID them for you.
I point this stuff out so maybe you can devise your own system. There is no set protocol, create your own working procedure and talk to the Video editor.
The other guys have given you some real good advise.