There are a variety of words and phrases that can be used as synonyms for the term "punched cattle." One common term is "cattle prodded," which refers to the use of a long stick or wand with an electric charge to encourage livestock to move in a certain direction. Other options include "herded," "rounded up," or "corralled" cattle, which all involve gathering the animals together and directing them to a specific location. Another term often used in the context of cattle ranching is "cowboyed," which refers to the process of managing and directing cattle using traditional cowboy methods, including horseback riding and roping.