Watch – Wrist
If a present it probably relates to the giver or circumstances of giving. So, what is said about clock is a good indication. You might have been given the wristwatch in the dream by your father for instance. It might be you therefore treasure it or have difficult feelings because of bad relationship memories. Although breaking of a wristwatch by someone you know can point to feelings about their death, or their dying. See: Time; Presents; Clock.
A digital wristwatch can give an audible beep on the hour or any length of time so it may represent a warning or your intuition.