Im sure this is one of the easiest techniques in Illustrator. But what I would like to know is the easiest way to clip out the logo from the buisness card design. The dotted lines are the cards boundarys.
Are you talking about the watermark image in the background and you just want the edges that go outside the dotted line clipped out?
Easy. Draw a box to the size of the card (the dotted line), make sure it has a stroke only (no fill). Then select the box and the logo go under OBJECT/CLIPPING MASK and select MAKE.
Just keep in mind the box draw has to be on the top layer and of course aligned properly.