A couple of years ago I was temping at a national insurance company. There was this guy, "John" there who was extremely clean cut and spruce. This one young woman had such a crush on him she called him "John Von Gorgeous"
Really nice guy, quiet, consciencious, very well mannered.
At one point, we developed a deeper relationship, meaning I did something that caused him to open up to me, and we had some more personal conversations about our lives.
He showed me some pictures of himself on his own time....he was covered with tats and piercings, some really, Really wild. As we got to know each other, I learned a lot of other things that were much more surprising/shocking than his body art. He was still a very nice, quiet consciencious well mannered person, it's just that there was a lot more to him, meaning I know I only scratched the surface..
He just always work long sleeves, and kept his shirt buttoned.
I really admired John in how he kept his personal life personal, and felt, well, honored that he trusted me enough to open up a little.
If your body art is important to you, I feel it's worth the inconvenience of covering it up if it doesn't fit with your workplace. Just make sure it's in a place on your body you can cover up.