Final answer:
The correct classification is Antisocial Personality Disorder which falls under Cluster B, associated with dramatic and erratic behaviors according to the DSM.
Step-by-step explanation:
The correct classification of a personality disorder with respect to its cluster is Antisocial - Cluster B. The American Psychological Association's DSM categorizes personality disorders into three clusters: Cluster A (odd, eccentric), Cluster B (dramatic, emotional, erratic), and Cluster C (anxious, fearful). Antisocial personality disorder falls into Cluster B, which includes disorders characterized by dramatic, overly emotional, or unpredictable thinking or behavior. Other disorders in this cluster include borderline, histrionic, and narcissistic personality disorders. The disorders listed in Clusters A and C do not include obsessive-compulsive disorder as this is often considered a separate category related to anxiety disorders; meanwhile, there is no Cluster D in the DSM.