I've got a full sleeve right down to the beginning of the palm of my hand, and starting a second. I got it travelling, fully in belief that I wouldn't ever be in an a customer facing environment.
After I came back, one thing lead to another, and from a call centre job, worked my way into wealth management, where i was meeting clients etc, but I never wore anything other than long sleeved shirts anyway, and wear a watch, so in 5-6 years it was only really spotted a couple of times by clients, and the ones that did had tattoos themselves. My manager never even seen it for about 2 years.
However, had I turned up to the interview with it showing out of my shirt sleeve, I would never have gotten the job. The stigma around tattoos comes from a different generation who believe its only prisoners that get them, and its usually someone a couple of generations older than you doing the interviewing, or managing you etc
And the ones from our generation that have an abject hate of them have listened to their parents too much 'tattoos are for idiots' 'if you get a tattoo you will never get a job' and so on.......
My favourite one is the 'it will look terrible when you are old' I usually say, well so will you, ill just have tattoos.