If you don't want to destroy/remove the button after fading, add a condition to the button on clicked event to check if opacity is greater than 0.
I essentially am trying to make the button inactive during a set period of the clock I built. What's happening now still is it fades out (opacity tween) but I can still click on it after it's no longer visible. So the tweening is happening at the right time, but the button (sprite) can still be clicked which I do not want to happen.