When I am editing the scene i get this sort of clipping in my camera. I was wondering if somebody could help.
Here is a screenshot- http://puu.sh/ede1x/76489e846f.jpg http://puu.sh/ede8R/1e0f53ea95.png
Make the Camera Near Plane smaller.
MakeCodeNow is right.
Cameras in most 3D rendering applications actually have a minimum possible distance, as well as a maximum. This is because the screen is really 2d. When you want to render your scene, you have to somehow flatten it onto a single plane so it can be properly displayed. In order to do this, a transformation is applied, which will map each point in the scene to a point on the âimage planeâ, which can then be displayed.
Here, you can see the regions of the camera. Your scene would be in the blue portion of the frustum, and would be squished down into the image plane, whoâs borders are labeled L, and H. The problem is, this plane has to be at least some distance away from the cameraâs location, because otherwise, all of the geometry in the scene would be mapped to just a single point on the image plane, and you wouldnât see anything!
The artifacts youâre seeing are due to the scene geometry crossing from the blue region into the white region. Theyâre closer than the image plane, and so they arenât being transformed into the cameraâs view! As a result, you get that weird clipping where only parts of the object are visible!
In order to remedy this, you can pull the ânear clip planeâ closer to the camera by adjusting the value in the inspector, but keep in mind, it is impossible to have a near clip plane of zero, and if it gets too close, you may have some other artifacts due to inaccuracies in the math! The usual fix is to somehow prevent the camera from ever getting that close to walls, either by giving it collision, changing the angle, or something else like that, so that you donât have to worry about the clip plane as much 
Hope that helps!
-Andrew
PS: Iâm not sure itâs possible to change the near clip plane of the Editor camera, but it usually does a pretty good job at preventing clipping. What is the scale of your world? Sometimes if things are too small, you have to zoom in really close to them to see them properly, and then the near clip plane is very far away by comparison! Try scaling things up a little bigger, and seeing if that helps.
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Sounds like OP means the Editor Camera.
The near/far planes on the editor camera are set when you focus on an object in the scene (the âFâ key), but if e.g. you focus on a large terrain/object the near plane can get set to a value that isnât good for close-up editing.
To work around this focus on a smaller object in the scene, then move the camera manually to where you are working on the larger scale object.