“Drinking water while exercising will give you cramps”
I certainly wouldn’t recommend chugging it, because who wants to jump around with a belly full of liquid? But sips here and there to hydrate you and replenish yourself during a sweat will not normally give you cramps.
You should be drinking water before, during, and after exercise to prevent dehydration. Failure to do so can lead to headaches, fatigue, dizziness, and cramps.