I think you are asking about something that can be found in Chapter VII. My copy of the book does not use the word "important." It calls the man a "considerable person at court" but I assume that this is what you are asking about.
This man does not want anyone to know that he is visiting Gulliver. For secrecy, he comes in a "close chair" (a chair that is carried by people and has something around it so no one can see who is in it). Gulliver picks up the chair and puts it in his pocket. Then he goes back inside his house.