The cloths are forced by the tub to turn inward the same as centrifugal.
The force of the tub wall causing the clothes to turn inward is centripetal.
A ball on a string twirling over your head is centrifugal force pushing the outwards.
Nothing is trying to push the ball outward, it's merely trying to travel in a straight path, which would be away from the center of it's circular path.
If i let out some more string the ball will take up the slack and move further out.
As the centripetal force is lessened, yes the ball will move further out as it tries to go straight momentarily.
If when I let out more string the ball came closer to the center, that would be the opposite to centrifugal force, centripetal force.
How would the ball come closer by letting out more string? The centripetal force is what is making the ball follow it's circular path. Pulling the string in would make the ball come closer to center.
Show me something that works like that.
A ball on a string. Centripetal force makes it turn instead of going straight.
Or, do you want to see something that, when centripetal force is lessened or removed, curves inward even more instead of straightening out?