After the car wreck when Edward Norton is recovering in the cabin and Brad Pitt is telling Norton about his life ("you climb the vine..."), Pitt wears his leather jacket. At the end of the scene, however, he stands up and puts the jacket on right before saying, "Feel better, champ."
I agree with the above comment.
And furthermore wish to add (without spoiling the amazingly unpredictable ending for other people) that what you witnessed with the jacket detail could just a simple reflection (or rather discrepancy) of who Tyler Durden really is according to the Narrator's (Edward Norton) point of view.
The Narrator also saw Tyler drive off in a red convertible sports vehicle some time after this. Tyler Durden later on in the film proved not to have such vehicle, and was living in a fairly run-down abandoned house. I hope you get my drift.
These details must have something to do with The Narrator's misconception and confusion of Tyler Durden's identity during his psychosis.
When Tyler gets into the convertible you can hear a guy yell, "Hey, thats my car!". Meaning that "Jack" must have assumed later that Tyler had stolen the car, or something like that. It's kind of confusing to think about, because the car wasn't really stolen, but you can still hear the guy yell.
The car IS stolen. It makes no sense for him to fabricate Tyler stealing the car without knowing Tyler's personality at this point in the movie. What we're seeing is Tyler stealing the car and Jack disassociating himself from it by telling the story third person through his eyes at this point.
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