Processing times for work permits have not changed over the last month. A work permit application in the UK takes up to 5 days. If you are in the UK already and need to also apply for leave to remain on the basis of a work permit this takes 10 weeks.
Applicants under the Highly Skilled Migrant Program (HSMP) can expect to wait the longest, maybe even as long as 24 weeks. On top of this if you are already in the UK the Leave to Remain application could take up to 10 weeks to process.
For more information about the Highly Skilled Migrant Program, read about it on our HSMP page.