How to tame an aggressive kitten?

My girlfriend just got this kitten, 4 or 5 months old, and she’s the sweetest little thing but very energetic which wouldn’t be a bad thing but she has the tendency to latch on to one’s arm and chew on it. Right now it’s cute but we’re concerned that as the cat gets bigger it might attack people and things and do damage. is this normal, any suggestions on how to calm down and teach a kitten it’s not always appropriate to pounce on things? could she be in heat right now and therefore more aggressive?