Side of Paris lacking in sophistication (6)

I haven't cracked this one yet — but the brilliant team at Fifteensquared have:

Double definition – though the two aren’t really separate definitions. Gauche is French for “left” (as opposed to right) = one side in Paris; but “gauche” meaning clumsy or unsophisticated seems to originate from the same word, as part of a long-standing prejudice against left-handers. (In many languages, “right” is more or less the same word as “correct” or “straight”, but “left” tends to have negative connotations; as well as “gauche” there’s the Latin “sinister”.)