
While great teams like AC Milan and, sadly, Arsenal have had great success recently without the use of true wingers. You can't simply say "Well then surely it can work at Spurs!".
Arsenal and Milan were supremely well coached into their narrow, short passing game, and had some outstandingly talented players to make it tick. Kaka, Pirlo, Henry, Pires, Bergkamp and even Vieira and Seedorf are all fantastic football brains and passers of the ball. This is what you need if you are going to play narrow and deliberate, because you will be unlocking teams with the right pass rather than trying to run past them.
More limited teams can succeed with wingplay, because you don't need to be a good footballer to run as fast as you can down the wing and then cross. You also do not need to be as well trained, or as good in your movement because again - you're basically passing and then running your arse off. It's simple and its easy and its why most teams in England play that way.