connection with retaining pin 20 the provision of a safety wrist strap is preferred in order to assure against the possibility of injury to the animal should the user lose hold of the hand grip when the animal is pulling and the elastic leash cord is under stretched tension the opposite front terminal end of the tube 12 is preferably closed with a front end cap 30 which is provided with an end bore 30 39 through which the elastic leash cord 16 freely extends as shown in fig4 of the drawings the forward terminal end of the elastic leash cord 16 may as illustrated in fig1 be formed as a loop 16 39 using a second crimp clamp 22 39 for securing a desired fastener hook member 32 arranged to engage a dog 39 s collar with the foregoing construction thus described it will be understood that fig1 of the drawings shows the leash apparatus of this invention in fully relaxed inoperative condition and fig2 of the drawings illustrates the leash apparatus in a condition representing an in use state in which a dog would be pulling significantly and stretching the leash cord member as mentioned previously bungee cords and the like typically possess a stretching capability of double or more their overall relaxed length providing a progressively stronger pull tension as they are stretched to their maximum thus as.