Corrected entry: Glass wears the bear fur that is taken from the dead grizzly the entire movie. That is not possible because fur has to be tanned first. For this, the expedition had neither the time nor the materials. Otherwise, the fur would rot, especially considering the surroundings and conditions that Glass is put through.
Julian1990
18th Jan 2016
Correction: It is never suggested that the fur he is wearing is that of the bear that attacked him, as the protagonists were all trappers in the pelts (fur) trade, it can be assumed that the fur he is wearing is one that they had been carrying the whole film which had already been treated.