Watches are often credited with various mystical properties, but if there are any special watches among them, this is a rarity. In the Mystery Clock Escape game, you learned that there is a clock that can stop time. Is this what you wanted to check, but for this you have to free the clock from imprisonment. They are hidden in a small pagoda-style mansion, but the item is not just sitting somewhere in the room, the clock is locked in a cage and apparently for a reason. So they are really worth something. Find the clock, open the cage by finding the keys and maybe you will find out if it is actually magical in Mystery Clock Escape.
