Could you not phone a logging firm and see if they want it? They get either fire wood or chippings to sell. other than that I'd have several small bonfires - unless it's illegal?
No one wants or needs leylandii brush clippings. Not viable to load, unload etc. Sticky, smelly, ruins tools and is hard to collect the leaf. And in such small quantities and burning domestically produces acrid, white smoke. Guaranteed to piss the neighbours off.
In my experience, I am yet to see leylandii benefiting a domestic situation where a better choice of hedge/tree could have been chosen. I blame the Australians getting mixed up with the Cypriots.
That said a chunk of my income comes directly through cutting them back or down. A client uses code language to book his hedge in such is his disdain for it: 'Could you book the pig in for a haircut please?'