If you are within range of a tower that is owned by the enemy and you right-click on the point, your champion will begin the channel, neutralize the tower, and continue channeling to cap.
But, if you are outside of range of a tower owned by the enemy and you right-click it, your champion will move toward the tower to cap it. However, if the tower becomes neutral during that course, your champion bugs out and stops dead in his tracks instead of continuing to the tower to cap.
This isn't a huge bug, but it's certainly very annoying. This should be fixed so that once a command is issued to capture a tower, your champion carries out this order until the tower is capped.