Arvid Schneider of URs3D shows how to use a Maya Hair Follicle to link objects together after they have been deformed essentially using the follicle as a surface constraint.

…This tutorial will show you how to create a parent constraint to a hair follicle. With this neat trick you will be able to connect to objects on surface level, so no shifting of meshes is possible…

Arvid’s explains a scenario for use as an example with having something like a bandage that covers a scar on the cheek of the face of a character you have in Maya. In having bandage constrained or sticking to the skin of the character, normal constraints will not give you the desired effect.