Mad Dog and Glory (1993)

Synopsis
John McNaughton directed this Richard Price-scripted comedy about a cop who learns to love an unwanted gift from a gangster. Robert De Niro plays Wayne Dobie, a shy and reclusive Chicago cop who has never fired a gun. Dobie is an evidence technician who takes photographs at crime scenes, earning the moniker of "Mad Dog" for his diffident attitude. One day Dobie walks in on a convenience store holdup and saves the life of Chicago mob boss Frank Milo (Bill Murray). Frank is impressed by the way Dobie handled the holdup and wants to pay him back for saving his life. In thrall to Frank is Glory (Uma Thurman), who is working off her brother's gambling debts by living with the mobster. One day, Glory turns up at Dobie's house, explaining that Frank is giving her to him for one week as a gift. Initially Dobie wants nothing to do with Glory, but as the week goes on, he realizes he is becoming intensely attracted to her. ~ Paul Brenner, All Movie Guide