Dodgeball - Tuesday Nights You remember playing dodgeball in middle school? The game today is just like you remember, minus those painful welts that show up when you're hit, the ones that say "Wilson." NHSSC's Portsmouth dodgeball league plays at local gyms from 6:00 pm - 10:00 pm. After the games, players head down to The Gas Light for drinks and socializing. This league is for recreational players, i.e. players who want to have fun and socialize.