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These are not highly detailed photos (as I've seen in another post), and using a key (which I don't have) would probably be futile, given the lack of said detail. However, it does look a bit different to a lot of other Chloropidae in the presentation of the black and yellow on the thorax, and it has a good likeness to a Thaumatomyia notata also on this forum site. It does indeed have a very narrow gena, and from what I can make out, the scutellum does look flat..
So might it actually be Thaumatomyia notata?
Only about 2 mm long. It kept vigorously sucking at the surface of the leaf (laurel), which does help to explain the slight blurring of the images.
I would agree that this is T.notata