Lots! I've felt some here in my three years. My wife has stories of being in a few while in the Costanza area with more than a little damage. I know the Santiago/Cibao valley is very active but I don't have access to a list of those. HB I am sure does ... Here's a list of some that have affected coastal areas of Hispainola. The 1946 one from Samana to Playa Grande probably the most famous. There also have been several more 7.5+ events between the DR and PR in the 1750-1850 period but while damage reports exist for PR, no good records exist for the DR even though to be sure the damage east was similar to what PR experienced.
1751 10 18 19:00 - Haiti, Santo Domingo Azua de Campostela, Haiti Santo Domingo & El Seybo The city of Azua de Compostela was destroyed by an earthquake and overwhelmed by the resulting tsunami. Santo Domingo also reported damaging waves at Santo Domingo and el Sevbo
1770 06 03 [19:15] Haiti Golfe de la Gonave, Haiti Waves noted at Golfe de la Gonave and Arcahaie. La Saline
Mountain foot partly submerged. The sea inundated 7.2 km inland.
1775 03 Haiti Hispaniola Three strong shocks were felt on Hispaniola. Several store houses were destroyed and great damage was done by the sea.
1775 12 18 Hi spamola & Cuba Hispaniola & Cuba Three earthquakes reported and waves did extensive damage. Rubio does not mention any effects in Cuba
1860 03 08 Hispaniola Hispaniola: Golfe de la Gonaves, Cayes, Acquin, & Anse-a-Veau. An earthquake (Ms=7.5) was reported from Port-au-Prince and Anse-a-Veau. Waves were reported from Golfe de la Gonaves, Cayes, and Acquin. At Anse-a-Veau the sea withdrew and broke with acrash on the shore.
1946 08 04 Dominican Republic Dominican Republic: Matanzas,
Julia Molina & Samana San Juan, Puerto Rico Bermuda Daytona Beach, Florida Atlantic City New Jersey 2.4 The town was severely damaged and 100 people killed although the wave probably was only 2.4m. At Villa Julia Molina the wave was estimated to be 3.6 to 4.6m high but caused little damage. At Cabo Samana several ebbs and flows were observed. It was recorded at San Juan, Puerto Rico, 36 minutes after the earthquake. It was also recorded at Bermuda at 2:07 after the earthquake and at Daytona Beach, 3:59 and Atlantic City, 4:49.
1953 05 31 [19:58 UT] Dominican Republic Puerto P lata, Dominican Republic 0.6 Recorded on the Puerto Plata tide gauge at 6 cm height. May be a wave from hurricane Alice which was in the area at this time.