Retired librarians rule, OK! :-)

I agree about choosing the correct tape. Ordinary cellotape is a no-no, although I know a trick for removing the icky-stickyness from old cellotape on water resistant objects, i.e. not paper or books.

Rub the affected area with a bit of eucalyptus oil on a cotton ball. The icky-stickyness disappears like magic. It's good for getting stubborn paper labels off chinaware etc. If necessary lay the eucalyptus soaked cotton ball or paper towel over the label so that the fumes soften the glue. I learned that in an archival conservation training day about 40 years ago.

Repeat: Do not try this on your precious books and papers.