sticky on both sides ...(?)

The tapes that are sticky on both sides come in a variety of kinds.

There are very thin ones used in manufacturing that make a very permanent bond and using one of these might fasten your socks permanently to your ankles - although these mostly have such an aggressive adhesive that the skin should peel off by the time you really need to change your socks.

The most common kind now, for home use, is a "foam core" that is advertised for "semi-permanent" hanging pictures and light objects on the wall. Theoretically the foam is just thick enough to insert a thin blade to cut it in two, and you then can peel of what remains on the wall and on whatever you hung. These don't generally stick well on "biological surfaces" but might stick enough to make a little "friction."

In common usage here, any tape that is sticky on both sides is called "manager tape" - because it's "TWO-FACED"

(variants are "supervisor tape," etc., but in one office where I worked it was called "Kenneth tape" although that was a very "local colloquialism.")

John