A rip is a break in the integrity of something made out of fabric.
The symbolism here is that something has been broken or rendered obsolete because of the loss of structure.
If something is already ripped in your dream, the offending moment has occurred in the past.
If you are ripping something in the dream, there may be some anger issues that are causing things to break down.
If the person doing the ripping in your dream is someone else, consider him or her as a character aspect of yourself and think about what the person is ripping in order to have a sense of what this image means.
[1]See “tear”
[2]