Hi, Claire,

the leaves growing on the spent spike, congratulations! You have a
keiki, which is a baby plant. Eventually, it will grow roots and you can pot
it up. When it flowers it will be identical to the parent plant. As far as
spent spikes are concerned, once they brown you can just cut them off at the
base, using a sterile tool or a new single edged razor blade. Some folks cut
them while they are still green, but I prefer to wait. Sometimes a green
spike will surprise us with a couple more blooms.

Welcome to rgo!

Diana