Says the Associated Press (also here):
In a 90-minute debate that touched on economic issues, foreign policy and immigration, Huckabee drew the loudest applause of the night from the audience when he was asked about having quoted a Biblical passage saying a wife "has to submit herself graciously" to her husband.
A Baptist preacher before entering politics, he said he was "not the least bit ashamed of my faith," but didn't impose it as governor and wouldn't as president. He said the citation is from Ephesians, and "the point is that as wives submit themselves to their husbands the husbands also submit themselves" to their wives.
"That's why marriage is an important institution, because it teaches us how to love," he concluded.
A quick Googling turns up what look like the salient points of Ephesians:
5:22 Wives, submit yourselves unto your own husbands, as unto the Lord.
5:23 For the husband is the head of the wife, even as Christ is the head of the church: and he is the saviour of the body.
5:24 Therefore as the church is subject unto Christ, so let the wives be to their own husbands in every thing.
5:25 Husbands, love your wives, even as Christ also loved the church, and gave himself for it; 5:26 That he might sanctify and cleanse it with the washing of water by the word, 5:27 That he might present it to himself a glorious church, not having spot, or wrinkle, or any such thing; but that it should be holy and without blemish.
5:28 So ought men to love their wives as their own bodies. He that loveth his wife loveth himself.
5:29 For no man ever yet hated his own flesh; but nourisheth and cherisheth it, even as the Lord the church: 5:30 For we are members of his body, of his flesh, and of his bones.
5:31 For this cause shall a man leave his father and mother, and shall be joined unto his wife, and they two shall be one flesh.
5:32 This is a great mystery: but I speak concerning Christ and the church.
5:33 Nevertheless let every one of you in particular so love his wife even as himself; and the wife see that she reverence her husband.
I don't see any mutual submission there. The wives submit; the husbands love, because you'd be mad to hate something that was part of you. In case it wasn't clear, the section starts and ends with the wife's submission and reverence.
The problem is, anyone who tries to criticise Huckabee on this point is effectively saying "I think fundamentalist Christians are nutjobs", which is true, but not something that wins elections in the US. Sigh.