When you get the prickly feeling, wash with *cold* water... it will cause your pores to close up and will actually push the fibers out. rinse for a couple of minutes or so and you should be good to go.
I had to deal with a patch bay which had fiberglass covered cables that I literally had to dive into shoulder deep in a room that was at best 95 -100 degrees... long sleeves were not an option... this technique was taught to me and works really well.
20Gal - 6 Harlequin Rasboras, 2 Triple Red Cockatoo Apistos , 1 BN Pleco
10Gal - 1 Orange Flash Cockatoo Apisto, 2 Amano Shrimp
20Gal - 13 Juvie Cockatoo Apistos... mostly Triple Reds
55Gal - Dry-Docked... wetness coming soon... I hope...