Answer
No.
Work Step by Step
The dryer’s walls push inward on the clothes to keep them moving in a circular path. When a water droplet finds itself next to a hole in the drum, there will be no inward force on it and by Newton’s first law, it will continue moving in the direction it was heading, tangent to the drum, and flies away.
In other words, there is no centrifugal force throwing the water outward. Rather, there is a lack of centripetal force on small water droplets to accelerate them in a circular path. These droplets continue in straight line motion, away from the clothes.