Safety Knights

We have lock sets for each department then if the job is getting transferred to a new team we have an addendum on our LOTO form with job transfer fields.

If it's a direct transfer as in between 1st and 2nd shift, then the first employee will unlock and the second employee will lock, step by step, verifying as they go. This allows the oncoming employee to know that the equipment is locked out properly.

If there is a gap, then a transition lock (probably the same as what you mean by continuity lock) is used. No one can work on the equipment while the transition lock is in place, it is only a placeholder.

We use a lock box for 90% of our jobs. This allows the supervisors to guide the lock and verify sequences, then the employees all lock the box. Supervisors will use a departmental lock to transfer anything that they don’t see each other face to face for.

I've done it in multiple ways. Typically, we have the oncoming person place their lock on the equipment before the outgoing person leaves and removes theirs. However, I've also done group LOTO, as well as a transfer lock (same as continuity lock) that would be applied by the maintenance or operations manager before the outgoing person left and removed theirs.

Man, I fought this one for years! My biggest problem was with first shift! The other two shifts had no problem working with each other, even if it meant they had to stay over a couple minutes to change locks on a job, in the rare event that was needed!!! But NO, first shift always needed to quit work 10 minutes before the shift to get there tools locked up, including removing "THEIR" locks. So if the maintenance job extended into the second shift the machine was left un-guarded and not locked out! I raised holly heck with the Maintenance Supervisor and even took it up the food chain! But was ignored! I even told Maintenance NOT to remove the locks and if on the other shifts had to remove a lock we had a very good "Lock-Breech" procedure and to follow that! Still they ignored me!
Finally I wrote a totally new LO Policy requiring the detailed use of a Lockbox (see Rick S's answer) for work extending into other shifts. I took it to the Plant Manager, and pointed out all the enhancements (there were others). I then told him to approve it and help me enforce all provisions, or two things would happen. #1 I would report out plant to Corporate EHS and say we were not following 1910.147! #2 After I did that I would send him my resignation. I told him I had dealt with my last amputation a year earlier and that was my last one if I could help it! He picked up the phone and ordered the Maintenance Supervisor and his boss to his office with us. He told them our New Lockout Policy would be followed to the letter! Disregarding it would result in someone's discharge!
Completed the last three years of my career with them with 0 amputations!

The last option is my choice. Encourages face to face exchange of information.