A Beagle will likely stop biting once they have been through the teething stage (typically between 4 and 8 months old) and are also trained to know that it's wrong to use their teeth when playing with people (using their teeth during play with other dogs is normal for puppies).
Why is my Beagle puppy so aggressive?
Beagles were bred to be hunting dogs. Because of this, certain forms of aggression come "stock" within your Beagles DNA. This makes them often prone to hunting behaviors that can be sometimes misconstrued as aggression towards humans. ... One way to curb aggression is by neutering your Beagle.
At what age should I stop my puppy from biting?
Puppies do bite because they are teething, but they also bite in play. And biting tends to start in earnest once the puppy has settled into their new home, so around 9 weeks old. With some exceptions, puppy biting will stop by the time your puppy has his full set of grown up teeth at 7 months.