Steps to reproduce:
1. Create a project which uses SpriteRenderer to continuously draw a scrolling sprite by changing TextureOffset property.
2. At Import Settings make sure Texture Type of the sprite is set to Advanced and Wrap Mode is set to Repeat.
3. Apply.
4. Run in editor - see texture scroll and repeat itself
5. Deploy it to Windows Phone device - texture will scroll, but at the end of the image it will drag and repeat pixels instead of wrapping.

To workaround this issue simply use Mesh Renderer instead of Sprite Renderer to achieve the scrolling effect.