I'm running Ubuntu 22.04 and have installed the PWA using Chrome without issue. I think I used Tweaks to add it as a startup item which has been working well.
The one only thing that I have noticed so far is that I can't find in-meeting reactions that BillWW mentioned. Though I also didn't have them in Teams for Linux (desktop app) or when I join from Chrome.
I think I do have meeting reactions for any scheduled meeting. For a call from the chat I don't get the reactions but I think that might be standard behaviour.
One thing I miss is the "join from this device" ribbon that shows up when I'm already in a teams call on my phone. If I want to be in on a call from more than 1 device I have to join from Teams PWA first and then join from my mobile app.
Someone else also mentioned audio settings, I got pulse audio to utilize my headset instead of my speakers for teams but I think I had to configure that during a call once, but now it is set and stays that way. I haven't tried out Ubuntu 22.10 with pipewire yet as I'm happy with my current audio setup and don't want to troubleshoot getting everything working again.