I am trying to recreate this effect (see photo) from the HipMunk Android app and I am having some issues as the shadow is coming out other sides on the shape. I just want the shadow out of the right side. Let me know. Thanks!
A shadow on only one side is merely a gradient. You can create one easily by having a rectangle (3px wide, 0%fill) for the area and a gradient overlay in layer styles.
What method are you using to create it? Your example only has a 3 pixel fade/shadow, so you could probably just fake it, but if you want the general method to create dropshadows...
In the effects pop-up (from the little fx icon at the bottom of the layers palette), if you choose dropshadow, it will take you to this:
Set the angle to 180 (horizontal) as shown.