depends on where the clog is. at my home I have a sink with two tubs. One of them has a garbage disposal, the garbage disposal has the dishwasher water output, and there's another tube for an overflow valve on the countertop.
Since "everythign else works", I have to assume the problem is directly in the sink, so just get a wire hanger and dig it out. If the problem were after all the pieces connect together, then you can't use a wire hanger, nor a simple plunger, because air escapes through the other outlets.
When this happened to me I wrapped plastic around the air vent and taped it solid, I sealed the sink entry to the garbage disposal, then added water to the other sink and used a plunger there.
The trick was to prevent water/air from escaping through the other openings when you use the plunger.