I can't believe someone was patrolling at the tent at night and check the time.
Firstly, there is no mention about it in the diary. They wrote there all sorts of little things in the diary, and if it usually one of them to has a patrol every day, I think they would mention it there. Not to mention that it is pointless for someone to patrol. It was a very strenuous expedition and each member had to be fit – rested in the morning. Besides, it’s unimportant the exact time they had to get up, because they didn't get on the train. It makes no sense for someone to check the time and even with two watches.
I think Tibo took the watch from Krivonishenko after his dead. One reason occurred to me: watches are the only valuables tourists had with them in the woods after escaping from the tent. In case they manage to get into civilization somehow, they will need money e.g. on the way home. It was obvious to them that they would not get to the tent where the money was. And four watches together could already give a nice amount of money.