Should I be worried of a puppy bite on the finger
i cleansed it with soap and alcohol. I'm being a little paranoid
If thus puppy is not yours or stray...Maybe...but if it is yours then you should be more than fine.
No you really need to be careful of dog bites. Continue to clean it with alcohol. If you see ANY sign of infection like swelling or redness, GO SEE A DOCTOR. If the infection goes to your heart you could die.