Gecko feet have a bunch of tiny hairs on them. Using these hairs they take advantage of an attractive force between most molecules called van der waals forces. These forces are similar to how static charge can make a balloon stick to your clothing. Geckos are light enough that the force can hold them up.
https://www.sciencemag.org/news/2002/08/how-geckos-stick-der-waals
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