Thermoplastic polymer compositions in a closure can comprise a polymer, a modified vinyl polymer and a slip agent or polymer lubricant said modified polymer having a moiety comprising a cyclodextrin compound. The cyclodextrin compound, locked into the polymer structure, can absorb impurities, permeants, or other undesirable volatile materials. The cooperation between the lubricant, the cyclodextrin grafted onto the thermoplastic polymer and the polymer structure can provide barrier properties to a film, web or other polymer structure and a surface with substantial lubricity.