I've seen a nice proportion of people in tech startups, etc with sleeves or similar compared to other professions (Typically less people than a representative portion of lead singers, but more than a similar sample of teachers). It doesn't seem to hold them back, and I plan to get (more of) my own in the future.

The view I take is if someone has such hostility towards my tattoos that we can't work together, we probably shouldn't be working together anyway. (Tattoos to me are representative of my life story and are given a lot of thought/designing)