Let's face it, you CAN finish a wet basement, but the better question to ask is SHOULD I finish a wet basement. Quite frankly, you can spend thousands of dollars finishing a leaking or wet basement only to have it flood again and again and again. You would end up paying those thousands over and over. That's usually referred to as a money pit and no one wants to do that. Your best solution is to resolve your wet basement issues with a basement waterproofing system, then you can finish your basement once with inorganic material so that mold cannot grow on it and not have to complete mold remediation and repairs all the time!