The York Theatre Company hits the ground running (and tapping) with its new musical revue “Cheek to Cheek: Irving Berlin in Hollywood.” Conceived, directed, and choreographed by the sure hand of Randy Skinner, the show salutes the master tunesmith’s contributions to the silver screen. The impact of Irving Berlin (1888–1989) on American music cannot be underestimated. He wrote approximately 1,500 songs (music and lyrics) during his lifetime, many of which have gone on to become popular standards. In addition to showcasing a wide range of Berlin’s most famous film offerings, “Cheek to Cheek” includes movie numbers that have long since faded from the public consciousness—that is, unless you are quite the musical film buff. Dance to the Music Just as important as the music is the dancing that often accompanies it, which includes everything from slow, elegant waltzes to rousing tap numbers. Anyone remember the dance crazes “The Piccolino” or …