As Harp and Robin explain in this episode, to tear a strip off someone, is to get very upset at them and to express that emotion in a very harsh and angry way. This could involve yelling or screaming, or just very angry, mean words.
　　As you can imagine, literally getting a strip torn off you would be a very painful experience. Getting a strip torn off you in the idiomatic sense is often very painful in an emotional way!
　　Other related idioms we talk about in this episode are
　　-To chew someone out
　　-To give someone a piece of your mind