A wife can work when she is under her husbands sponsorship. She needs to have a labor card from the Ministry of labor which her work must apply for. They are doing a lot of inspections lately.

As for a husband under the wife, this is not as common but by logic if the wife is able to sponsor the husband I cant see why not. You may run into a problem with a company wanting to hire a man not under their sponsorship though.
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"Diplomacy is the art of saying 'Nice doggie' until you can find a rock - Will Rogers"