2) To be (temporarily) successful in such a situation.
From boxing; a fighter who is punching above his weight is fighting an opponent who is heavier and more dominant.
West Bromwich Albion are punching above their weight in the Premier League. They'll soon be back in the second division where they belong.
Jeff was punching above his weight when he was dating Liz. She's way too hot for him.
1. To punch above your weight
(a) It's so much easier to punch above your weight in a foreign country when you have an accent.
2. How is it that Maynzie consistently punches above his weight?