Answer:
I am the kind of dog that chases anything red.
I can run but not walk. Wherever I go thought follows close behind.
I am owned by every man though my length differs. Their wives uses me after getting married.
The more there is the less you see.
I am used to bat with, yet I never get a hit. I am near a ball, yet never thrown. What am I?
Though not a plant, has leaves. Though not a beast, has spine. Though many wouldn't need this thing, It's more valuable than wine.