Liquid trapped behind the front lens on a compact camera—what should I do?

Is there any way to get the stuff out from under my lens? I'm open to any ideas, even taking it apart.

A non-invasive method should be the first thing you try. I'd wrap the camera in a couple layers of paper towel and then cover the towel-wrapped camera in (dry, uncooked) rice. Try to orient the camera so that gravity will keep the liquid off the lens as much as possible. Add an air-tight lid to the container and wait. The idea is that the rice will absorb moisture, and over the course of a week or two the liquid in the camera will evaporate and diffuse out of the camera. Whether you eat the rice afterward is a personal decision.

If using rice doesn't appeal, there are a number of different desiccants on the market. For example, you've probably gotten small packs of silica gel included with electronics, pharmaceuticals, etc. You can buy these things in various sizes, sometimes packaged to be reusable, sometimes disposable. They'll function the same way the rice does, slowly drawing the moisture out of the camera.