Continuity mistake: When Buffy and Angel get to Buffy's house at the beginning, Buffy starts to use a first-aid kit to patch up Angel's wound. Angel's arm goes from down by his side to up on Buffy's shoulder between cuts. (It can be hard to see since it's close to the bottom of the frame, but it's noticeable. It seems like they cut out a few seconds to quicken the pace.) She's also a little bit closer to Angel between the same cut.
Continuity mistake: After Giles closes the library for "filing, " we see Buffy grab a crossbow off a shelf. It is upside down when she grabs it. Instantly between cuts, it is right side up. You can tell from the grip thingy that sticks out from it. (It looks like she starts to rotate it in the first shot, but it's instantaneously flipped over in the next).
Audio problem: At the beginning of the episode at the Bronze, when Buffy gets up to go and Willow tries to get Buffy to stay, Xander suggests they can dance. But his mouth movements don't match the words when he says "Eh, yeah, it's early..." (His head is turned away from camera, but you can see the side of his mouth, and he's saying something else).
Answer: She has superpowers, ergo fast movement. The reason she outruns him so easily in "Touched" is that she stops trying to actually fight him and just dodges instead.
Shay