Oddly, I haven't seen an "Amado Patch" mentioned here!?
Like the rubber/leather, leader straighteners, (which can burn and easily ruin a leader, by the way, so I don't recommend their use), the Amado Patch is two pieces of this marvelous real fungus, cemented to two discs of leather, folded like the leader straighteners.
I've never found anything quicker, more absorbent and it leaves no powder or residue on the fly. One, quick, squeeze and the fly is dry again, ready to float!
Dan Bailey's carries these patches and also I've found Amado on the net, in small bulk pieces. So I've taken scrap leather, some "Zap-a-Gap", (make sure it's the waterproof Z-a-G, though!) and made my own, "fold over drying patch" to the exact size I want, with nothing wasted.
I, also, took a strip of Amado and Zapped it to the inside of my leather roll-up. Now, when I removed a streamer/woolybugger, they dry before the hooks can rust, or the hackles dry all matted together!