As others have pointed out, this idea probably falls somewhere between "waste of time" and "catastrophe" for the vast majority of situations.
Utilizing the enormous air pressure that issues out of Lechuguilla Cave's airlock, however, could safely produce enough electricity to power some on-site monitoring equipment. There are no bats, an already-modified entrance, a remote location, and mega-wind strong enough to nearly knock a person over.
Bruce Zerr measured max wind speeds of +49 and -43 MPH (your turbine will have to handle both in and out airflow).
For
expedition use, wind turbines would have too many restrictions on where they could be located, and will still probably generate only small amounts of power. Portable hydroelectric could have enormous use for expeditions (charging batteries, for example). It sounds like several projects have attempted it with varying levels of success, but in theory you'd need just a reliable source of falling water. In practice, there's a lot of torque involved in generating significant power, and big magnets and windings weigh a lot.