Just after Bond and Christmas Jones climb out of the pipe, Bond is holding his shoulder and his blazer sleeves are up. In the next shot, his arms are by his side and his blazer is all neat.
In the opening sequence with the speed boat jetting through the boat house and over the road was filmed in Wapping, East London. It took a week to film that one sequence as I saw them doing it. Also, for the matter of continuity, when the boat goes across the road, it goes into some sort of alley with an arch above it; in reality it's actually a Group 4 building on the other side of that road.