Okay kiddo, imagine you're a teacher and you have a bunch of students in your classroom. Each student has a question for you, and you need to answer all of them as quickly as possible.
In normal switching, you would have to listen to each student's full question, then think about your answer, and then start talking to give them the answer. This can take a lot of time if there are a lot of students with questions.
Cut-through switching is like having a classroom helper who listens to the first few words of each student's question and then tells you what the question is about before the student has finished asking it. This way, you can start thinking about the answer earlier and give it to them more quickly.
Basically, cut-through switching is a faster way for computers to send information to each other by only looking at the first part of the message and not reading the whole thing before taking action. This makes data transfer faster but can also cause errors if the whole message is not read before taking action.