Yes, shut is playable
...and is worth 7 points.
Found in the following dictionaries
Enable (Words with friends)
SOWPODS (Collins Scrabble Words)
OTCWL2014 (NASPA Word List 2014)
TWL06 (NASPA List 2006)
"Shut" Definition
noun
The act or time of shutting.
The line of connection between welded pieces of metal.
phrasal-verb
Shut off To close off; isolate: loners who shut themselves off from the community.
Shut off To stop the flow or passage of; cut off: shut off the hot water by closing a valve.
Shut out Sports To prevent (an opponent) from scoring any runs or points.
Shut up To cause (someone) to stop speaking; silence.
Shut up To stop speaking.
verb-transitive
To block entrance to or exit from; close: shut a corridor.
To cause to stop operating: shut down a restaurant; a school that was shut for the vacation.
To confine in or as if in a closed space: shut them in a cage.
To exclude from or as if from a closed space: shut the cats out of the house.
To fasten with a lock, catch, or latch.
verb-intransitive
To move or become moved so as to block passage; close: a door that shuts by itself.
To stop operating, especially automatically: The electricity shuts off at midnight.
verb
To move into position to close an opening.
To prevent entrance to or passage to or from.
To confine by or as if by enclosure.
To fasten with a lock or bolt.
To close by bringing enclosing or covering parts together.
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