。
He's wearing fur clothes.
Literal
Fur [possessive-の] clothes [object-を] is-wearing.
着ている is the ~ている form of 着る, a classic textbook example: 着る is an activity verb (putting on), so 着ている can mean either the ongoing action (putting on) or the resulting state (having put on and still wearing). Context almost always makes it the state — 'currently wearing.'