It's very invasive - can be a really terrible weed. Probably OK as a ground cover under shrubs if (1) you don't want anything else to grow with it, and (2) you can contain its spread with e.g. mown lawn/path. Next to e.g. herbaceous plants it will try to infiltrate and take over.
You can remove as much of the top growth as you want and it will grow back - if you ever want to get rid of it you need to remove all the rooted growing points which are at about ground level (won't grow back from the actual roots). It's also susceptible to glyphosate.