Tattoo- should I cover while at work?

So I recently got my wrist tattooed two days ago. I am a hair stylist so I am around water and chemicals. I’ve had the last two days off so I’ve kept it open as much as I can besides when I put my coat on for a few min to go out side and when I slept the first night. Should I cover it while I’m at work so hair doesn’t get on it or shampoo. Or should I just wash it after work?