My buddy and I have done some diving together in such poor visibility (less than 12 inches) that below 30 feet it's totally dark.
If you don't know the visibility is going to be that bad you usually lose contact with your buddy quite quickly and, following your lost buddy protocols, search for one minute then surface.
When you know that the visibility is going to be that bad, it's best to stay in touch contact right from the start and have strong lights. The leader is off to the left side of the follower and slightly behind. Using his right hand, the leader grasps the upper left arm of the follower and "guides" the follower with push, pull and squeeze signals.
Both divers have their lights in their left hands. The follower uses his right hand to protect his face from impact with unseen objects. The leader uses his light hand to protect his face. You will be moving at an angonizingly slow pace because you don't want to crash into something while fining at a brisk clip.
Prior to such dives you've got to have all of your procedures worked out and understood. Checking your gas without losing your buddy is a challenge. Emergency signals such as thumbing the dive have to be clear. Out-of-gas procedures must be practiced.
Obviously it's best to practice this stuff in an area where the visibility is good so that your teamwork is polished.
I've heard of people tying themselves together, but that sort of thing scares me.
Maybe I'm a wimp, but it takes some degree of fortitude and bravery to push on in those conditions. It is kinda scary.