With the help of realtor Kenneth (HARVEY FIERSTEIN), Alex Rose (BEN STILLER) and Nancy Kendricks (DREW BARRYMORE) have just bought a large duplex in Brooklyn. They're happy with their purchase, and don't seem to mind that the place comes with an elderly tenant, Mrs. Connelly (EILEEN ESSELL), who lives in a rent-controlled apartment above them.
While Nancy heads off to work for her demanding boss, Herman (WALLACE SHAWN), Alex hopes to finish his second novel that's due to his publisher, Jean (SWOOSIE KURTZ), in just a few weeks. Yet, when he sets out to work in his new home office, Mrs. Connelly repeatedly shows up at the door, asking for various favors.
That results in the couple becoming increasingly annoyed by her chronic interruptions and loud TV volume at night that results in them getting no sleep. They eventually come to the breaking point and politely suggest that Mrs. Connelly move back to Ireland. She starts to agree, but then chokes on a candy, resulting in the couple having to perform CPR on her. When she comes to, however, she thinks they're molesting her and reports them to the police.
From that point on, and as they become increasingly frustrated by the situation but must contend with police officer Dan (ROBERT WISDOM) warily watching them, Alex and Nancy contemplate how to resolve their situation, including possibly hiring local hitman Chick (JAMES REMAR) to take care of their problem.