Style, general condition should appeal to you as is. Look for any wood dust in drawers or joints: don't buy if you see it. Smell for odors, especially pet urine.
Look for solid construction, hardware that matches the period of the piece, and check that the finish is decent unless you are planning to strip the piece and refinish it. Look in the corners of the drawers and at other joints for powdery wood dust that indicates rot or bugs.
Buying antique dressers are easy, you just need to know where to look. When looking for antique dressers you want look for them at yard sales and flea markets.Flea markets have an endless variety of antique dressers. You are better off looking for antique dressers at flea markets because you can have a choice of which ones you like.
When buying antique dressers, you should make sure that the piece is not missing any hardware (such as drawer pulls). You should also look to see if any repairs have been made to the piece, as these things will affect the value.
Depending on the time period you are interested in you will want to look for solid wood, if early 20th century and veneered, look for intact veneer. Dovetailing on the dresser drawers indicates earlier, well made furniture. Check that the drawers open and close easily and there is no mustiness.