Assuming you’re talking about a white-collar office job, if your tattoos are covered by a long-sleeved dress shirt, and you don’t have any down to your hands or up beyond your lower neck, you should have zero issues. Other than that some offices are cool with polo shirts in the summer and you might want to stick with long sleeves depending upon your read of the formality of your office once you’ve been there awhile.

I know a partner at a law firm who has a couple of dozen tattoos including a full chest piece. He’s big into motorcycles and vintage guitars and you’d have zero clue about any of it until you pass from professional colleague to personal friend with him. He’s the top guy in his subject matter and has clients from all over his industry, including in very buttoned down companies.