The main ways to get yourself detected are crouch-running without the Silent Running perk, firing off noisy weapons like shotguns, and brushing up against people, so be careful to avoid doing any of that. As long as you’re wearing it and crouched, you’ll have a stealth field around you that’s very hard for anyone to penetrate.
It’s not as powerful a cloaking device as stealth boys are, but it is constant-effect, and you can always pay to have it repaired (or repair it yourself with recon armor) if it gets too damaged to use. The other thing you need for a super stealth character is the Chinese stealth armor.