I'm applying for a spousal visa, which is why I asked if it was for settlement or something.
I understand that, but there are some people who paid for non-priority in February and haven't heard back. So it's a piece of mind that it'll be looked at a bit sooner? I may call them this week to see.
I believe KFdancer said that last year during the worst waiting times, it was up to 5 months for non-priority but 5-6 weeks for priority. However, she and others have also said that wait times were unusually quick in February this year but now unusually slow (even compared to last year). So, for myself (priority spousal settlement visa) I've decided to hope for 4-6 weeks as a best case scenario and resign myself to up to 8 weeks or more if we're unlucky.
Priority gets your application ahead of all non-priority in line but behind all of the existing priority applications. There will be a huge glut of applications now from people who rushed to beat the price increase April 6, so I would expect the wait to be considerable.
Don't forget, also, that Sheffield is now processing applications for a lot more countries this year than they've ever done before.