Seems to have some resemblance to the blue honeysuckles being promoted and distributed as fruiting shrubs here. Perhaps it is a similar species of Lonicera.
Thanks for reply. It's not honeysuckle, its leaves are less coarse and it sheds few clusters of tiny white flowers (<5mm diameter) in summer.
In pic 2. there appears to be a patch of darker green in the middle of the leaves, would you describe it as variegated?
Not that I'm insisting it's a honeysuckle (for better results maybe next time mention the flowers and any other pertinent details right at the start) but for the record there are hundreds of species of honeysuckles, some of them with quite small leaves.
Ron B: thanks for clarification and tip for future queries Michael F / Debby: by looking it up on the web, I suppose it may be ligustrum japonicum Luddite@machen: young leaves are indeed two-tone, but after a while they turn solid green, so overall I would not call it variegated.
Without actually seeing the flowers, there is no way to correctly ID it with any certainty. There are many different plants with foliage like that in a number of different plant families. Just saying it has tiny white flowers is not a sufficient description.