For the most part, compliance is coming swiftly.
Scattered counties in Texas, Mississippi, and Kentucky are either refusing to issue licenses to same-sex couples or refusing to issue any licenses at all. At least one county clerk has quit rather than issue licenses to same-sex couples.
Last I heard, a few counties in Alabama were still refusing to issue any licenses (holdouts from the state vs. federal SNAFU in March). The judge in the federal case has issued an order clarifying that her earlier order is in fact in effect and does apply to everyone.
All counties in Kansas are now issuing licenses to same-sex couples, but the Governor says he still needs more time to study the Supreme Court's decision and determine whether the state will recognize them.
Puerto Rico, the Virgin Islands, and the Northern Mariana Islands have fallen in line. No word on American Samoa.
I have VC: faith that this will all be sorted out soon enough.