I’ve been waiting a long time for more levels on Candy Crush. What do I do to speed it up?

Define "a long time" - what does that mean for you? New levels are released once a week, every week. If you have been waiting for longer than that, there is something wrong with your game.

SagaR said:

If you have been waiting for longer than that, there is something wrong with your game.

You mean, the app is not up-to-date or have not been connected to internet.