Dock Icons will not move in Yosemite I am able to rearrange the dock icons for a period of time after each restart, though I have not been able to determine the length of time. Then I am not able to rearrange the dock icons again. 

I have tried the solutions found here: Can&#39;t rearrange Dock icons

The killall Dock command did not do anything. 

Deleting the com.apple.dock.plist file only seemed to work due to the restart because after a while the issue came back.

Is there a way to fix this issue so that I do not have to restart every time I want to rearrange icons?
Did you try this?

Finder and Dock issues in OSX 10.10.1

I had the same exact problem and it was definitely caused by Pushbullet extension in Chrome. Disabled completely the extension, restarted the system and the dock started working. 
Don't know if it was caused specifically by the "Universal copy &amp; paste" option being enabled or the extension as a whole, would have to investigate this further. Hope this helps.