An improved barrier or drug delivery system which is highly adherent to the surface to which it is applied is disclosed, along with methods for making the barrier. In the preferred embodiment, the system is compliant, in that it is capable of conforming to the three dimensional structure of a tissue surface as the tissue bends and deforms during healing processes. The barrier or drug delivery systems is formed as a polymeric coating on tissue surfaces by applied a polymerizable monomer to the surface, and then polymerizing the monomer. The polymerized compliant coating preferably is biodegradable and biocompatible, and can be designed with selected properties of compliancy and elasticity for different surgical and therapeutic applications.