For users which do not have the "Administer media" permission the two buttons on the Add Media overlay are not fully visible and the add media overlay dialog appears cut off at the bottom.

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Project:Media Gallery» Media
Version:7.x-1.0-beta8» 7.x-1.x-dev
Component:Code» Media Browser
Category:task» bug

I assume, thats a media issue. Moving.
I can reproduce this issue, if the user has only the "view media" permission.