Social Influencing is ones ability to manipulate other characters using some form of charm. This has several uses in the form of manipulation. Whether it be to manipulate how an opponent fights, thinks, or to get info from them that the user would want or need. This can be used in a number of ways via their looks, natural charm, or their way of speaking.
While it does not seem combat applicable, this skill can be used in many ways that can affect a fight indirectly, including buying time, obtaining information that could be important, or manipulating how a person might approach a situation.