I never finished Chrono Trigger because of the bit on the plane. You've been stripped of your weapons, armor, and items? OK. But your magic and skills are gone too? Whose bright idea was that?! Not to mention it's a forced stealth section in order to get your stuff back, which I've never liked or been good at.
Thankfully, Square learned its lesson near the beginning of FFXII in the Nalbina Dungeon. No forced stealth, and they've taken your weapons, armor and items...but, thankfully, NOT your magic, which makes everything much easier. (Especially if you've gotten Vaan and Balthier the licenses for basic black and white magic.)