Need context, does this cat have actual "ties", like you wear with a suit?
If this cat is a gentleman, he can wear a tie, same as boots and a hat. http://www.imdb.com/title/tt0448694/mediaviewer/rm3833511168, https://cz.depositphotos.com/143720833/stock-photo-cat-in-striped-tie.html
I don't get how are these sentences so alien for people that they don't even understand them. Have you never read or heard a children's story, or any kind of fiction?
It means the cat wears suit, goes to work, and in general is a respected guy...
Or anything really. There's not enough context.