I've lost many days of work because of this. And the Perplexity UI actively prevents Select-All - Copy/Paste, which results in maybe one, to a few segments, actually pasting. There is no direct method of exporting or saving a long session. Test it.
And trying F12 Network etc, etc, reveals even XHR is a dead-end. Effectively. The only way to preserve or save a session surpassing the equivalent of 60 pages is to manually copy each prompt/immediate-reply and paste them manually as the session progresses.
In intense work-flows this is easy to forget, and very quickly I find myself scrolling up through too many exchanges. Severely distracting.
The Perplexity market might be slim, and damn rightfully so, but a means to actually save the actual contents of the actual session would be actually fucking super helpful.
Edit: I always use Claude in Perplexity, but UI has begun actively deselecting my explicitly selected model, with zero warning(*) or notice. I have video of this. I select Claude, query the model for ID, and it says GPT5.1 as I watch my selected model disappear in real time.