USGS site says no tsunami warning has been issued.
This says the Pacific Tsunami Warning Center will handle reporting for areas outside of PR and the Virgin Islands.
http://wcatwc.arh.noaa.gov/2010/01/12/333319/01/message333319-01.htm
And here is the Pacific Tsunami Warning Center
http://www.prh.noaa.gov/pr/ptwc/
TSUNAMI MESSAGE NUMBER 1
NWS PACIFIC TSUNAMI WARNING CENTER EWA BEACH HI
2203 UTC TUE JAN 12 2010
THIS MESSAGE APPLIES TO COUNTRIES WITHIN AND BORDERING THE
CARIBBEAN SEA...EXCEPT FOR PUERTO RICO AND THE VIRGIN ISLANDS.
... A LOCAL TSUNAMI WATCH IS IN EFFECT ...
A TSUNAMI WATCH IS IN EFFECT FOR
HAITI / CUBA / BAHAMAS / DOMINICAN REP
FOR OTHER AREAS OF THE CARIBBEAN COVERED BY THIS MESSAGE...IT IS
FOR INFORMATION ONLY AT THIS TIME.
THIS BULLETIN IS ISSUED AS ADVICE TO GOVERNMENT AGENCIES. ONLY
NATIONAL AND LOCAL GOVERNMENT AGENCIES HAVE THE AUTHORITY TO MAKE
DECISIONS REGARDING THE OFFICIAL STATE OF ALERT IN THEIR AREA AND
ANY ACTIONS TO BE TAKEN IN RESPONSE.
AN EARTHQUAKE HAS OCCURRED WITH THESE PRELIMINARY PARAMETERS
ORIGIN TIME - 2153Z 12 JAN 2010
COORDINATES - 18.5 NORTH 72.5 WEST
LOCATION - HAITI REGION
MAGNITUDE - 7.3
EVALUATION
A DESTRUCTIVE WIDESPREAD TSUNAMI THREAT DOES NOT EXIST BASED ON
HISTORICAL EARTHQUAKE AND TSUNAMI DATA.
HOWEVER - THERE IS THE POSSIBILITY OF A LOCAL TSUNAMI THAT
COULD AFFECT COASTS LOCATED USUALLY NO MORE THAN A HUNDRED
KILOMETERS FROM THE EARTHQUAKE EPICENTER. AUTHORITIES FOR THE
REGION NEAR THE EPICENTER SHOULD BE AWARE OF THIS POSSIBILITY.
AREAS FURTHER FROM THE EPICENTER COULD EXPERIENCE SMALL SEA
LEVEL CHANGES AND STRONG OR UNUSUAL COASTAL CURRENTS.
ESTIMATED INITIAL TSUNAMI WAVE ARRIVAL TIMES AT FORECAST POINTS
WITHIN THE WARNING AND WATCH AREAS ARE GIVEN BELOW. ACTUAL
ARRIVAL TIMES MAY DIFFER AND THE INITIAL WAVE MAY NOT BE THE
LARGEST. A TSUNAMI IS A SERIES OF WAVES AND THE TIME BETWEEN
SUCCESSIVE WAVES CAN BE FIVE MINUTES TO ONE HOUR.
LOCATION FORECAST POINT COORDINATES ARRIVAL TIME
-------------------------------- ------------ ------------
HAITI JEREMIE 18.6N 74.1W 2224Z 12 JAN
PORT-AU-PRINCE 18.5N 72.4W 2229Z 12 JAN
CAP-HAITEN 19.8N 72.2W 2255Z 12 JAN
CUBA BARACOA 20.4N 74.5W 2249Z 12 JAN
BAHAMAS GREAT INAGUA 20.9N 73.7W 2246Z 12 JAN
DOMINICAN REP PUERTO PLATA 19.8N 70.7W 2304Z 12 JAN
SANTO DOMINGO 18.5N 69.9W 2337Z 12 JAN
ADDITIONAL BULLETINS WILL BE ISSUED BY THE PACIFIC TSUNAMI
WARNING CENTER FOR THIS EVENT AS MORE INFORMATION
BECOMES AVAILABLE.