The Pacific Tsunami Warning Center says a teeny (two-tenths of a foot) wave was measured in Honiara, the Solomons about an hour-and-a-half ago following a magnitude 7.2 earthquake.
There are no reports of damage from the PTWC or from the United States Geological Survey, which kindly posted this map. The USGS got two reports from the nearby city of Gizo saying there was moderate shaking. Ah, the wonder of the internet.
The PTWC does say, however, that the tsunami "may have been destructive along coasts near the earthquake epicenter," but "no threat exists for other coastal areas" in the Pacific.
The quake was relatively deep; USGS says 30 km, PTWC 33 km.
Evidently news travels slowly there, but the Solomon Star is reporting that local tsunami may have damaged 500 homes and either the waves or the earthquakes caused casualties. One man injured himself trying to flee to higher ground.
The Washington Post has an Associated Press Report that 2-3 meter waves hit Tetepare and Rendova Islands. According to a dive shop owner, people on the nearby island of Gizo headed for the hills because they remembered a 2007 tsunami.