Reminders on the iPhone are limited to daily reminders, with no real option to "snooze" an active alert. If you're interested in getting multiple reminders for a task on the list until it's marked complete, then the RemindMeAgain iOS tweak might fit the bill.
With RemindMeAgain installed, iOS will keep reminding you that a task is outstanding based on a pre-set interval of time. Until the task is marked complete, the tweak will make sure that the Reminders app continues to remind. Essentially, RemindMeAgain functions as a snooze button for the Reminders app.