I sweat heavily when I just dance and my commute to school is about 12 miles one way with a backpack. I wear cycling shorts and an athletic t-shirt while t-shirts are in my school's sport complex locker room(I wear cycling shorts into class). When I get to the locker room I walk around shirtlless for a few minutes to cool myself down, then I wet my washcloth underneath the sink tap and wipe down any part of my body that feels slightly uncomfortable. My deodorant is awesome so I just need to dry wipe my armpits. I always feel refreshed in class and have never reeked after arriving to class (except for when I tried my stupid no socks movement)