Golf balls comprising a core having at least one layer and a cover having at least one layer are provided. At least one of the layers is made from a thermoplastic composition preferably comprising a telechelic ionomer derived from alkyl-cis-cyclooctene and cis-cyclooctene. The telechelic ionomer composition also may be used to form intermediate layers. Blends of telechelic ionomers and polybutadiene rubbers or ethylene acid copolymers can be prepared. The telechelic ionomer compositions can be used to make a cover layer having good impact durability and shear resistance and that also helps provide the ball with high resiliency.