Acid Bubbles has the correct step-by-step. I'm in there animating right now, so I figured I'd toss a couple of screenshots out there. In Acid Bubbles' "Step 3" above, you'll "Add a Click Action," give the action a name ("Start Animation" in my example below) then click "Settings..."
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Acid Bubbles' Step 4 and 5 above will look like my image below. Choose your Receiver Atom (probably the person with the Timeline plugin, mine is called "Astrid") then the Receiver is the plugin itself (I recommend typing "time" or "plug" in the Filter box, as Person Atoms have a LOT of Receivers.) Receiver Target is "Play
YourAnimation" (Mine is called "Wake Up" in the image below.)
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Easy peasy!