Presumably therefore tfrtraveller, your application has been stuck at ‘application being processed’ since 27 April (15 days ago) and not progressed. It’s hard to know what this means exactly since a standard renewal really ought not to require much processing. I looked back at some pre-lockdown posts, i.e. in normal times, talking about passport applications and the time separating ‘application being processed’ from ‘application approved’ seemed to vary from the same day to over a week.
This thread is worth looking at, particularly the most recent ones:
https://www.tripadvisor.co.uk/ShowTopic-g186216-i15-k10568771-o140-UK_British_Passport_renewal_Times-United_Kingdom.html
I’d like to reiterate that although I am set up for alerts on my application I have NOT received an email (or a text) today to tell me that it had reached ‘being processed’. I only found that out by chance when tracking it today. So it worth looking even if you haven’t heard anything.