Just wanted to share this for anyone else that may be wondering about how long it could take.
I submitted my ECF via fax again on September 14th, every other time Fedloan did not receive/process but Mohela did this time - woohoo!
Checked pretty regularly for progress via the Form Status section of this page. I think it was around November that it showed up as received and mentioned 90 business days to process.
January 4th I received an email notice from Great Lakes that my account was being transferred to Mohela "on or about 1/20/2023".
Late last month I was finally able to login on Mohela. I already have them servicing my SoFi loans and the same account works for both which is a little weird to me. Prior to the magic day, trying to login or register would just redirect me to the SoFi page. Some people have reported using successful registration as an indicator of a successful transfer. When I logged in, no information really showed and I had the smiley saying good standing. Over the next week or so, more information populated.
Yesterday (February 8th), I got the welcome email from Mohela and my PSLF counts and full loan details were in there.
Today, I did my daily check of Experian and Great Lakes are officially off with no replacement yet. Jumped up 14 points there on my FICO 8 but I'm sure that'll fall right back once the new ones report.
It might take some weeks. If you applied by 10/31, the eligibility criteria was quite vast. In essence, you only had to make 120 payments from most nonprivate student loans to be eligible. Even late payments count.
It took me a couple of months from when MOHELA started servicing my loans--but I just got my loans forgiven a couple of weeks ago under PSLF.
I hope you get yours forgiven, too.
You should apply, and renew the application each year. Keep it open.