Right now, ship traffic around Syria, and especially around the port city of Latakia [4]and Tartus (where the Russian naval base is located), is normal as can be seen on the real-time map of naval traffic in the Mediterranean courtesy of Marine Traffic [5]. If and when (supposedly Thursday if NBC is to be believed) the US finally launches the Tomahawks, expect a prompt evacuation of the triangle between Lebanon, Turkey and Cyprus. Or maybe in advance, especially if some of the more "strategic" tankers get advance notice things are going down. Keep an eye on real-time Mediterranean traffic courtesy of the map below.
h/t Fips_OnTheSpot [6] [6]