Reg 17. (5) states that 'The product name of a relevant honey may be supplemented by information relating to its specific quality criteria.' (Honey Regs 2015)
So for it to be specific, it must not apply to every honey. Words like raw and natural are not permitted, because they are not specific. A word like 'creamed' would be permitted because it is specific. (Please let's not go down the road that creamed is not permitted because of an allusion to diary products. It describes the process of making a puree.)
But 'spiced' is not a quality but an indication of additional ingredients. I think you can still state 'Spiced honey' (or perhaps Honey with spice') on the label, but you have lost the privilege of not needing to list ingredients (something afforded by complying with the Honey Regs).