I still have lots of cufflinks. All you need is a long sleeved shirt.
Instead of the usual button hole on one edge of the cuff, and a button on the other edge, to wear Cufflinks you have a second button hole on the button edge. (keeping or removing the button as you wish, I used to keep the button, so I could do either/or). Any alteration place will make the extra button hole for you.
Most shirts used to have the two button holes, so one could go 'Dressy' or "Casual'.