After her recent close (17,000 vote) victory, Arizona Superintendent of Public Instruction-elect Diane Douglas (R) is already facing calls on a Facebook page for her recall. The issue is obviously not about her actual governing (as she's not in office yet). Petitioners cannot start gathering signatures until she's been in office six months. The "sour grapes" recalls are not uncommon (Omaha's mayor in 2011 is one example).
They would need approximately 363,462 signatures, which of course is more than has been gathered for a recall for any position, except the California Governor, Wisconsin Governor and LG.