If my son got a tattoo and turned down by an employer because of it, I'd think he had a lucky escape.
Are there still companies around who judge to such levels and want to produce identical mainstream clones...?
I interview lots of graduates for entry level in my line of work. It never occurred to me to be offended if I see a tattoo through a shirt sleeve, or on a wrist or ankle. In fact I take it as part of someone's colourful makeup and personality.
I'd be angry if I was supporting my son and he was putting tattoo money before books and rent, but he said he worked and paid for it himself.