Had something like this happen on a USS Oriskany dive earlier this year. On dive 2, I was asked to "watch" a less experienced diver b/c the person buddied up with the diver from the dive shop was not going to do the second dive with the group. Since the diver was certified and had done the previous dive I said OK, and basically took this as a request to be a good buddy. I asked what the max depth was on the first dive, 100' or so, and we went over a few hand signals (air checks, etc) since I didn't know this person.
The top of the tower is now around 85' or so, so I said let's stay around 90' so as not to exceed the 100' of his last dive. Visibility was not good that day and there was a strong current around the top of the tower on one side, so not ideal conditions. Couple things happened...
1- he exceeded 100' to take a picture of something
2- STOOD on the wreck to take said picture
3- standing was vertical (have seen this in some newer open water classes; any reason they teach this vertical walking thing underwater? Didn't in my classes years ago)
Had to get his attention to ascend back up to 90', so he obviously wasn't paying attention to his surroundings. I decided to do an air check, and he was at 500 psi with about 8 min of NDL time left. Eeeek! I signaled to end the dive and return to the anchor line and start ascent. Did slower than normal ascent and safety stop. All ended well, but he was close to OOA when back on the boat.
Message here has been said previously, diver/conditions/etc, but to be extra cautious with someone you have never dove with before, newbie or experienced. Some people get irritated about the number of times I ask about their air consumption when I dive with them for the first time, but it helps keep us together and not in an OOA situation.
Happy diving!