Not only did Jesus and the first century Christians NOT wear neckties, they didn't wear pants!
Trousers have a long non-Judea-Christian history and Jesus in his prehuman existence would have been well aware of their existence and practicality. However, Jesus never wore pants or cheap polyester suits. Why? Clearly because these were associated with pagans including Chinese, Celts, Persians, etc. that were part of Satan's world. Pants were popular with warriors on horseback, so wearing pants would be as acceptable to a true christian as walking around with an AK45 slung over the shoulder.
Rumor has it that an early Church father, Antonio Morrisianium the Thirdian, condemned pants as a tool of pagan homosexuals that in the snugness of their fit caused pagan tingly sexual arousal of Christian naughty parts.