It almost looks like my Allspice tree. Rub the leaves and sniff...does it smell yummy like an Indian Market?

It looks like a Java Plum, Syzygium cumini.

Not Allspice - I've got that growing in the garden and this ain't it.
Not Java Plum - There's dozens of them in the community. The leaves on this rascal are in triplets. The java plum has two leaves at the end of each branch.

Yes, the leaves are compound, each leaf composed of three leaflets. It's hard to see in your pics how the leaves (not leaflets) are arranged on the stem, but if they are in opposite pairs then I think of family Bignoniaceae. I seem to recall some Tabebuias have leaves very like this.

It looks like one of the tabubuia trees.

I would also guess Tabebuia, are there any Tabebuia trees in your neighborhood? It doesn't look similar enough to T. impetiginosa to be an exact match, but then we can only grow this and T. chrysotricha here in northern California. Also, both these species have 5 leaflets, rather than 3...

Um, well, I noticed this post earlier. I have a very small Tabebuia heterophylla and this plant looks very much like it EXCEPT mine has five leaflets.

-Ron-

Looks like a young camphor tree

I have a lot of "Lemon Scented Gum" trees and the seedlings all look just like that. They are a fast growing tree. Scientific name is "Eucaliptus citriodora" If it is that be careful. They grow up to 75 feet and shed the bark all the time. Great to boil the leaves when one is getting a cold.
susana