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I imagine they would be like Ryanair and Go (other low-cost, ticketless airlines). They e mail you your booking info etc, and you print it out - that is your ticket. I've used Ryanair often - it works fine!
I've booked with Buzz, and Elizabeth is right, you book online and print out the booking confirmation details (make sure you keep a note of the reference number) and that serves in lieu of a ticket.