1. To disrobe hastily or haphazardly. Primarily heard in US, Canada. The kids ran in and shucked down, leaving their muddy boots and jackets all over my clean carpet.
2. To remove someone's clothes, especially in a hasty or haphazard manner. In this usage, a noun or pronoun can be used between "shuck" and "down." Primarily heard in US, Canada. The poor child was soaked to the bone from the rain, so I shucked him down and wrapped him up in a dry towel. The mother shucked the child down and put him straight into the bathtub.