If you hang around at the city's police department long enough, you will probably see the svelte cop run down the stairs from his second-floor office and vault down the concrete steps outside the front door, hustling to some call coming over the police radio. [...] nothing in his 26 years in the department has prepared him for the swing dance routine he is about to perform when he competes against 10 other contestants in the Curtain Call theater fund-raiser, "Dancing with the Stars," coming up next month. Late last week, as he finished a rehearsal at the Come Dance With Me studio off Summer Street in downtown Stamford, Matheny leaned forward a chair beside a cocktail table, and thought for a moment before taking a deep breath. Curtain Call has called together area luminaries for the eighth year of "Dancing" in hopes of raising money for the non-profit theater company. Ursone went to Stamford High School with an older brother and sister of Matheny's, and the chief and his wife, Jenny, are long-time patrons of the theater. [...] Ursone said, Matheny is very well known in the community and the event's success depends on the contestants to draw a crowd for the show, and sell advertising for the performance's program. After doing knee slides, slashes, whips and a bunch of classic East Coast Shorty steps during their 21st, 45-minute rehearsal Friday, Matheny's professional dancing partner, Meredith Landphair, 25, said the chief was very dedicated to learning the swing routine she choreographed.