Chasing walls or Channelling walls as its also known is messy. 

It doesn't have to be as messy as you might think, as there are machines that we extract the dust from the process. These machines can be expensive and they don't cut the entire channel so you may still need a tool to break the last bits. 

Either way, chasing walls is a messy job. 

There are other options available now that can limit the channelling considerably: Dot and dabbing walls, erecting stud walls, and using wireless switching devices will all remove the need to break into the walls by a considerable amount.

The dust that is produced by cutting wheels is very fine. So fine that it feels almost like ash to the touch. This can cause serious problems if you are breathing it in, and can also dull and scratch floors and furniture. 

If you know you need to have chasing work done in a room, despite the best efforts of technology and modern tools, I would always recommend you protect the floors and remove or at least cover and tape and furniture