Is Kiribati still sinking?

The Pacific island nation of Kiribati will cease to exist, disappearing beneath an ocean rising ever higher as a result of climate change.

How true? Are there parts of the island that already sank?

A UN report on the greenhouse effect listed Kiribati as one of the countries at risk from rising sea levels in 1989. Ten years later, two of its uninhabited islands, Abanuea and Tebua Tarawa disappeared