It's hard to say, everyones application has different routes but I would say its positive that movement has happened and see what happens over the next few weeks :)
My LPP completed around 20 days after test completion. Some are sooner, and I've seen some people wait a bit longer, so hopefully should be soon for you :)
LPP completed on January 22nd (reflected on profile today)
Timeline:
Sent: Oct 30
AOR: Nov 21
BG: Nov 27
Test taken: Dec 12
Test complete: Jan 6
LPP: Jan 24
Oath: Waiting
I have a similar timeline to you. I'm seeing most people get LPP complete 3 weeks + from test completion, some even faster than that and some even slower. So I would roughly anticipate 3-6 weeks.
is there anybody else who took their test around Dec 12th and still waiting? My test window ends soon, is it normal for tests to be completed after the window? Thanks!