Double-faced Links with two identical faces attached with a metal link. You push one face through the "button" holes of the cuff. These are the dressiest.
Chain links A chain attaches the double-faced links
Snap on Made up of two separate pieces that snap together
Push-through This style has a bulbous or globular end opposite the showy side, which is pushed through the cuff holes.
Hinged back This type has a bar, which can be aligned perpendicular to the link then opened parallel, after it’s pushed though the cuff, to secure the link in place.
Silk knots Two knots linked together with and made of silk; one of the knots is pushed through the cuff hole to hold the cuff together. Silk knots are the least dressy style.