It looks like Viburnum tinus, which can grow into quite a large bush. It flowers through most of the year and has small berries.. very tough but might not like being in the dry shade under a rhododendron.
You can dig it up and move it whenever you like as long as you can keep it well watered, and it is easy to prune...chop off bits you don't want
They are very useful plants as they are so easy going
