Yes, tear is playable
					...and is worth 4 points.
			
	
		
		
		
	
	Found in the following dictionaries
	Enable (Words with friends)
SOWPODS (Collins Scrabble Words)
OTCWL2014 (NASPA Word List 2014)
TWL06 (NASPA List 2006)
"Tear" Definition
        noun
        	
		A drop of a liquid or hardened fluid.
		
	 
	
	    	
		A drop of the clear salty liquid that is secreted by the lachrymal gland of the eye to lubricate the surface between the eyeball and eyelid and to wash away irritants.
		
	 
	
	    	
	
	    	
		A profusion of this liquid spilling from the eyes and wetting the cheeks, especially as an expression of emotion.
		
	 
	
	    	
		Slang   A carousal; a spree.
		
	 
	
			    verb-transitive
        	
		To divide or disrupt:  was torn between opposing choices; a country that was torn by strife.
		
	 
	
	    	
		To lacerate (the skin, for example).
		
	 
	
	    	
		To make (an opening) by ripping:  tore a hole in my stocking.
		
	 
	
	    	
		To pull apart or into pieces by force; rend.
		
	 
	
	    	
		To separate forcefully; wrench:  tore the wrappings off the present.
		
	 
	
			    verb
        	
		To fill with   shed tears .
		
	 
	
	    	
		To separate parts of or pull apart by force .
		
	 
	
	    	
		To wound by or as if by pulling apart by force  .
		
	 
	
	    	
		To divide or disrupt by the pull of  forces .
		
	 
	
	    	
	
			    phrasal-verb
        	
		Tear around  Informal   To lead a wild life.
		
	 
	
	    	
		Tear around  Informal   To move about in excited, often angry haste.
		
	 
	
	    	
		Tear at  To distress greatly:  Their plight tore at his heart.
		
	 
	
	    	
		Tear at  To pull at or attack violently:  The dog tore at the meat.
		
	 
	
	    	
		Tear away  To remove (oneself, for example) unwillingly or reluctantly.
		
	 
	
			    verb-intransitive
        	
	
	    	
	
	    	
		To move with heedless speed; rush headlong.
		
	 
	
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