The only way to return the Ball Of Spun to a happy state is to catch a Lumino Spunner. Should you get close enough to a Lumino the Ball Of Spun will launch itself after him, and when it hits, knock the player from Underspun.
The Ball Of Spun has 3 states, each of which lasts for 1 or 2 minutes depending on circumstances. Happy and Angry have been covered already, the other is Bored. When bored the Ball Of Spun can be stolen by any other player if they get close enough. When stolen it will revert to a happy state.
It has been observed that if the player in question is wearing a Spun Suit, Rabbit Head or possibly other Spun head gear the Ball of Spun will manifest as a Spun Imp. Best not ask about that though, things might get confusing.