I use an Epson printer, and lay the print on a flat surface with the printed side exposed to the air to dry for around 30 minutes. I think Epson recommends at least 15. Then the print dries with the printed surface in contact with a sheet of paper for 48 or more hours. I think Epson recommends at least 24. Epson says this is not necessary with mat finished papers because solvents can migrate through the back. IMO it is necessary if the print is backed with a material that is not breathable, like foam core. I do it regardless.
The second sheet absorbs some of the low vapor pressure solvents much faster than they would evaporate. If the print is framed under glass, this prevents eventual “ghosting” of the image on the glass, which takes years but really does happen. You’ll see the second sheet get “wavy” as it absorbs the solvents. If that “waviness” is extreme a fresh sheet of paper should be used for at least an additional 24 hours. To accomplish the goals of not scuffing the print and absorbing the solvents, a paper with a very smooth surface and reasonable absorptive capacity is best. Some papers that are readily available in large sheets, like sketching paper, are deliberately made with a rough surface to better take and hold charcoal and other media. Interleaving tissue has a smooth and soft surface, but because it is very thin it has limited absorptive capacity, you may need to change it several times.
After the print is completely dry it stays where it is, covered with the absorbing paper, until it is matted and framed – usually immediately. The longer a bare print lingers and the more it is handled, the more likely some sort of damage will occur. When possible I cut paper before printing. When that’s not possible, a long foam backed metal cutting guide, a heavy X-acto knife, and a cutting mat prevent any contact with the printed surface while cutting, assuming you are just cutting a border and not between two prints. Most of these cutting guides are very nicely padded and can be very successfully used in contact with the printed surface, but I avoid that.
As always, YMMV.