Dodgeball - Wednesday Nights (Recreational) 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 on Thursday nights from 6:00 pm - 10:00 pm. After the games, players head down to the Page for drinks and socializing. This league is for recreational players, i.e. players with who want a lighter level of play.