Chain-nose pliers have smooth flat jaws that taper to a point. If you're in the market, make sure to buy ergonomically over economically! You'll have these in your hands all the time so make sure they're comfortable. Use them for bending wire, opening loops, and rescuing your needle from too-filled-with-thread beads.
These pliers (along with your round nose) are the backbone of working with wire. And I would be remiss if I didn't urge you to have two pairs. Chain-nose pliers look just like your basic toolbox needle nose pliers, except they have no teeth on the jaws. They are smooth steel, so as not to mar your wire. They're used for everything you do. And when you open and close jump rings, or make wrapped loops, you will need two pairs.