It's a really strange sentence. Maybe it was a typo? If we assume 'cock' was supposed to be 'clock', then it could mean that the clock was displaying or showing some kind of stories, like perhaps it had a digital display that showed short tales or reminders that could be considered stories in a sense.
Well, perhaps it's a very unique or even wrong way of saying something. If 'cock' is meant to be a rooster, it could imply that the rooster was somehow associated with the act of showing stories, like maybe there was a fable or something involving a rooster and story - telling. But this is just speculation as the statement is so odd.