When you capture footage from an HDV camera using Final Cut Pro, the image displayed in the capture window may lag slightly behind the image displayed on the camera. This is normal and does not indicate any issue with Final Cut Pro or your camera.
What do you do to solve this hassle? Nothing really...other than stop using HDV...
This inconsistency is related to HDV's Long-GOP (Group of Pictures) MPEG-2 format. With the data structure for this format, Final Cut Pro must assess information about several frames in a row before it can accurately display them all.
When you need to make decisions about where to place in and out points for clips you wish to capture, the time reference point on your camera is more accurate. However, with HDV it's a good idea to give yourself an extra second or so on each side of the clip when marking in and out points for Log and Capture or when using Capture Now.