Torpor Orb is a fascinating build-around card. All kinds of interesting creatures come with drawbacks upon entering the battlefield that the orb nullifies. Unfortunately, though, it's rarely used this way. Played competitively in sideboards against powerful ETB effects and combos, four copies would cost you almost $20.
However, there are still ways to take advantage of these creatures. Case in point, manifest. When you manifest a card, you can turn it face-up by paying its (in this case very efficient) mana cost. Since it was face down as a 2/2 with no abilities when it entered the battlefield, any abilities that that would normally trigger would not happen. This means that Eater of Days won't make you skip any turns, even when you turn it face-up!
In order to manifest the right cards, you're going to have to mess with the top of your library. Brainstorm does this well, and makes sure you never have a card you want to manifest sitting in your hand. Sage of Epityr and Halimar Depths let you plan your turns and know when to play a manifest spell, and Courser of Kruphix lets you know when you're in position and plays good defence while you're at it.
Once it's time to manifest, Wildcall and Write into Being are your main go-tos, but you can Reality Shift your own creature if you need to. In most casual groups, Nulltread Gargantuan can at least be considered castable in an emergency, and in the early game, you can use it to get a second use out of Sage of Epityr.
Of course, you also have to disrupt the opponent. You can stop removal and more with Mana Leak, and take out creatures with Reality Shift and Dismember. Dismember is a lot more reliable, but the mandatory paying of life in this deck can be a bit punishing. It's the most permanent thing we have access to, but if I make a sideboard, I might include some Vapor Snags to switch out, since bounce punishes a lot of the decks that punish us for lowering our life total into striking range.