Scrabble Dictionary

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Yes, connote is playable

...and is worth 12 points.

Found in the following dictionaries

Enable (Words with friends)
SOWPODS (Collins Scrabble Words)
OTCWL2014 (NASPA Word List 2014)
TWL06 (NASPA List 2006)

"Connote" Definition

verb-transitive

To have as a related or attendant condition: For a political leader, hesitation is apt to connote weakness.

verb

To imply as a logical .
To be associated with or inseparable from as a consequence or concomitant .
To convey in addition to exact explicit meaning .