Stand-offish is a term used to describe someone who is distant or reserved in their behavior towards others. There are several synonyms for this word, each with their own specific nuance. One synonym is aloof, which conveys a sense of being unapproachable or uninterested in engaging with others. Another synonym is distant, which suggests a lack of emotional connection or intimacy. Reserved is also a synonym that implies a degree of caution or reluctance to interact with others. Finally, cool is a more colloquial synonym that conveys a sense of detachment or indifference. While each of these words has distinct connotations, they all capture the essence of someone who is stand-offish.