If my wife does not get a job immediately, is there a provision for a 6-month visa extension to look for work in UK/New Zealand?

No, there is no specific 6-month visa extension for spouses in New Zealand or the UK to search for work if they do not get a job immediately.

- New Zealand: Your wife’s Partner of a Student Work Visa is usually tied to the length of your student visa. If your visa is extended, hers can be as well. If your visa expires and she hasn’t secured a job, she would need to apply for a new visa type, such as a work visa (if she has a job offer) or a visitor visa (which does not allow work).

- UK: A dependent visa can be extended while you continue your studies, typically for up to 2.5 years. She must apply before her current visa expires to stay legally.

Visa rules are subject to change.