I always rinse off alum. I use alum for about 99% of my shaves.
After rinsing off left over lather after a shave, I wet the block with cold water and then rub it around on my face, I then rinse out my brush and lather bowl and razor and put them away... by that time it works out well if I rinse the alum off my face with cool/cold water and then pat dry before applying AS Balm.
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