All good advice above.
Before I roll up a wet tent I will shake it out and wipe it up with my pack towel. As mentioned above, whenever I pack a wet tent, I try to stop and dry it during the day if the sun comes out. I'll do this at lunch or even during a break. They usually dry in a matter of minutes if there is a breeze.
Once in a while I will have to set up a damp tent, not too often. (I did ride through three days of a tropical storm one year, it got so ridiculous that I just laughed.) If worse comes to worse you may be damp in the tent, but it will eventually dry.
Same thing with the clothes. I thru-hiked the Appalachian Trail and went through a six week period of almost daily rain while in New England. I told people that the hardest part was waking up every morning and putting wet, cold clothes on and walking in the rain. My only consolation was that I knew I had dry clothes in my pack that I could put on to sleep in.
I frequently will dry my clothes out, bungied to my rack, while I ride. Believe me, a damp Jersey is no problem to wear, but damp shorts should be avoided if possible.