The eight words below share a very unusual property. Can you determine what it is?

BANANA
DEMONIC
FICKLE
HUMBUG
JEDI
LUCK
NUDISM
PIANO

HINT:
It has to do with the first and last letters of each word.

Answer:

Starting with the A and B at the end and beginning of BANANA, the ending and beginning letters of each clue word are in consecutive alphabetical order:

BananA
DemoniC
FicklE
HumbuG
JedI
LucK
NudisM
PianO