There are other, better ways to get a partner to go next. For starters, Cinccino can use After You with 115 base speed, and your partner will attack immediately after. If you want this to be priority, there's an amazing gimmick I invented called the
After You Cannon!
In a triple battle, send up Prankster Murkrow, a Togekiss, and a super-powerful pokemon that will destroy everything with a single Rock Slide or Earthquake(Rampardos, for example). Murkrow and Rampardos Protect, and then Togekiss uses After You on some random opponent. Next turn, Murkrow uses a priority Mirror Move on Togekiss, which copies After You and makes Togekiss go immediately afterward. Togekiss then uses After You on Rampardos, still before anything on the opponent's side of the field can attack, and then Rampardos destroys everything with a "priority" Earthquake of doom. Hooray!
Unlike the Encore-based strategy, the After You Cannon can be used indefinitely, over and over again. I was going to post the strategy as an RMT, but this seems like a good enough explanation.
If you're creative, don't copy and paste this into your signature (Started by 3.14kachu).