Some discussion on the internet about how slow reviews have gotten and how few reviewers respond, etc. The suggestion floated was paid review, something on the order of $100 per review. I have always found this idea weird, but I have to say that I think review times have gotten bad enough that perhaps we have to do something, and some economists have some research showing that paid reviews speed up review.
In practice, lots of hurdles. Perhaps the most obvious way to do this would be to have journals pay for reviews. The problem would be that it would make publishing even more expensive. Let's say a paper gets 6-9 reviews before getting accepted. Then in order for the journal to be made whole, they'd either take a hit on their crazy profits (haha!), or they'd pass that along in publication charges.
How about this instead? When you submit your paper, you (optionally) pay up front for timely reviews. Like, $300 extra for the reviews, on the assumption that you get a decision within 2 weeks (if not, you get a refund). Journal maybe can even keep a small cut of this for payment overhead. Perhaps a smaller fee for re-review. Would I pay $300 for a decision within 2 weeks instead of 2 months? Often times, I think the answer would be yes.
I think this would have the added benefit of people submitting fewer papers. Perhaps people would think a bit harder before submitting their work and try a bit harder to clean things up before submission. Right now, submitting a paper incurs an overhead on the community to read, understand and provide critical feedback for your paper at essentially no cost to the author, which is perhaps at least part of the reason the system is straining so badly.
One could imagine doing this on BioRxiv, even. Have a service where authors pay and someone commissions paid reviews, THEN the paper gets shopped to journals, maybe after revisions. Something was out there like this (Axios Review), but I guess it closed recently, so maybe not such a hot idea after all.