none the worse for

1

Not harmed from, as in He was none the worse for walking the entire ten miles, or This carpet may be old, but it's none the worse for wear. [Early 1800s]

2

Be improved by, as in The dog would be none the worse for a good brushing. [Early 1800s]

The American Heritage® Idioms Dictionary Copyright © 2002, 2001, 1995 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company.