The meaning of scissors tattoo is to make a clean break with the past. Scissors are used to cut things, so the most common implication of scissors is to cut. In some places, when the bride or groom is married, they have to cut cloth, which means that now they are married, they have to break with their past lovers.
The meaning of scissors tattoo is to work together. Scissors are composed of two blades. They can only work together. Therefore, scissors are also used as a metaphor for cooperation. Some places want to put a pair of scissors when they are newly married, which means to be united.
Source: @tmberwolf