Crafty Cutpurse

If the effect that creates the token also creates a delayed triggered ability, Crafty Cutpurse doesn’t change who controls that ability. For example, if your opponent activates the ability of Kiki-Jiki, Mirror Breaker, that opponent controls the delayed triggered ability. When the ability triggers, that player can’t sacrifice the token, so it remains on the battlefield.

If two or more players each have resolved Crafty Cutpurse’s triggered ability and a token would be created, the token’s would-be controller chooses one of the applicable Crafty Cutpurse effects to apply. Then the new would-be controller of the token repeats this process among the remaining Crafty Cutpurse effects, and so on, until there are no more possible such effects to apply. Each effect can be applied to the token only once this way.

Crafty Cutpurse won’t retroactively change the control of tokens that have already entered the battlefield.