I tend to naturally be more wary of people with tattoos. I know a lot of cowboy dealers who have tattoos. The fact that a lot of my close friends have tattoos and are trustworthy people sways things, but not enough to turn off the alarm bells in my head completely.
My Dad is very conservative and is much more inclined to do business with someone in a suit with no tattoos showing, than someone in casual clothes showing tattoos. Despite maybe being of a dying generation - as a businessman, my Dad is the exact type of client who I want to attract and impress.
For this reason I would be reluctant to allow tattoos near my business image and therefore reluctant to hire someone with tattoos. Certainly I would request him/her to hide her tattoos on the job.
Im not overly pro shirts and ties. I think they are uncounfy, lack freedom of expression, very inconvenient to keep clean and are therefore getting outdated in the new generations. However they sell. And if it means impressing a client I will certainly put on a shirt and tie! To not do so would mean loosing out on lots of money over time.