For me it took about 2-3 weeks from docs received to be approved.
Adult renewal with name change – docs received 18/05 (sent on 05/05), asked for extra document on 21/05 (sent same day) then approved on 31/05, printed 02/06 and arrived today.
Child 1 First passport – docs received 18/05, approved 04/06
child 2 first passport docs received 18/05, asked for extra documents to prove mothers name change which i couldn’t give as they already had them so rang to ask for applications to be linked 04/06, requested call back 05/06, call back and told they will try and link applications 06/06, approved 07/06.
I’m still waiting for the 2 child passports to be printed but once got to docs received, even with requesting further documentation it only took 2-3 weeks from that point. @Tragicmcbritishface i’d expect you will hear something in the next week or 2. Which office is dealing with your application?