Furlough and/or getting another job?

[Mooooooon]

DD is home from uni. Her part time job (food service, 12 hours a week) was cancelled. She heard yesterday she is entitled to the 80% of her pay.
Today she has been offered a part time job (supermarket) 16 hours a week. She’s accepted it but who does she tell regarding the 80% thing? Can she do both? Should she? There’s nothing in her contract about only having one p/t job. She’s still having to pay her rent for her uni house until the end of the summer which is a bit of a problem.

You can't do both. It's for people with no wage

DH has taken a job at Tesco whilst being Furloughed from his main job. His employer is fine with this as long as he is available immediately to resume his normal duties although they have said they would give a weeks notice before expecting him back.

We need the money from the second job otherwise the loss of 20% of his wage will put us into significant debt we can’t afford

It was confirmed last week that you absolutely can take a second job whilst on Furlough, as long as your first employment contract hasn’t banned you from taking employment elsewhere. It doesn’t matter if the hours are the same or different.

Presumably though an employer could choose to waive the one employer clause if they wanted to, but they don’t have to.