At the very moment, animations can only be used if
1) The account linked to Studio building (Or however it checks) made the animation
or
2) The animation was made by Roblox
This is easily seen when using the Animation editor tool, if you were to take that it wouldn't be allowed to be imported into the tool, while on the other hand, if you took one of the core animations from
game.Workspace.Player1.Animation(Look for a local script) you'll be able to import it into the animation editor tool and look at the steps used.
https://gyazo.com/ef8809bf00bdd62f7e6e83520fb77daf According to this screenshot, a player named antimatter78 made the animation, which is not the same as the profile you seem to be using.
Now if you happen to be the antimatter78 person, refer to this article http://wiki.roblox.com/index.php?title=Changing_default_character_animations
It does, however, look like animation access will be changing on the horizon according to here
http://blog.roblox.com/2016/03/the-future-of-the-roblox-avatar/
Community-created assets for sale in the catalog will include packages, hats, gear and animations, in addition to shirts and pants
Hope this helped
~MBacon15