The Privet hedge is a feature of gardens up and down the land- the fragrance of the flowers is one of the evocative scents of summer. Generally the species grown is Ligustrum ovalifolium which came to us from Japan and Korea originally. Our native L. vulgare is better for wildlife but L. ovalifolium is more amenable to clipping and shaping hence it's popularity.
 It does attract bees and there is a great deal of it so it's worth holding off with the trimmers until the flowering has finished. Perhaps your neighbours will peek out from behind their net curtains and tut but never mind.