Offset texture on an object

This can be done using Material.SetTextureOffset(). Below is a example script. Create and object and a Quad. Put the same material on both. Attach this script to the Quad. Drag and drop the other object to the 'object' variable in the script attached to the quad.

 #pragma strict
 
 var object : GameObject;
 var factor = 0.01;
 
 private var startPos : Vector2;
 private var startOffset : Vector2;
 
 function Start() {
                     // Could be done in the editor
     renderer.material.SetTextureScale("_MainTex", Vector2(0.2, 0.2)); 
 }
 
 function OnMouseDown() {
     startPos = Input.mousePosition;
     startOffset = renderer.material.GetTextureOffset("_MainTex");
 }
 
 function OnMouseDrag() {
     var v = (Input.mousePosition - startPos) * factor;
     renderer.material.SetTextureOffset("_MainTex", startOffset - v);
     object.renderer.material.SetTextureOffset("_MainTex", startOffset - v);
 }

There is one problem with this code I did add the code to solve. This code uses mouse coordinates to calculate the amount of movement of the texture offset, so it is not platform independent. You'll need additional work if you are targeting multiple platforms.