I wouldn't be too worried about getting approved just because one applicant is working in the construction sector. The banks would most likely scrutinise the company he is working for quite closely, though, so that could be a factor. A key question is, what was your husband doing before last November? Continuous employment is very important for a mortgage application, preferably for at least 12 months.
Most banks won't take any overtime into account until at least a year's worth of historical overtime can be shown, but that may not be a big consideration here. As long as the employment duration and the specific employer don't cause concerns, I feel that the biggest factor will be the amount you are looking for. If you want to borrow an amount that would require an exception to the Central Bank lending rules (more than 3.5 times income, i.e. €332,500, or more than 80% LTV), I think it would be extremely difficult. If you want to to borrow within those limits, you should be fine. Just make sure everything else about the application is perfect, i.e. consistent savings, impeccable account operations, don't take out a loan, etc.
Best Regards,
Dave Curry, Irish Mortgage Corporation
https://ie.linkedin.com/in/davecurryirl