Liquid, especially gooey one, is viscous medium. Even if it is heavily oxygenated, you need to maintain it's flow through lungs for it to saturate blood with oxygen, and the strength of chest and stomach muscles can simply be not enough to maintain this flow.
Even if you train your muscles enough to breath water (or even goo, yuck, that will be waaay more harder), human organism has a defense mechanism to stop filling lungs with liquid, that causes spasm and reflexive respiratory standstill.
As for getting in and out of pod, I usually skip that part and go like: "Hello, Im in pod now", then "Hello, im in my quarters now". I think a person in the pod should be without clothes (and, really, I wouldn't want to walk after getting from pod in clothes soaked in goo, eeewwww). Problem with clothes for my characters I solve simply: military training allows them to quickly dress and undress in like 30 seconds, maybe add a couple of seconds later to plug buttons, wipe and then arrange hair, etc.