I have used Eneloops in mine for several years (2 or 3) without problems; I didn't consider that there might be one. The only problem I had was the lugs falling off the battery compartment lid recently; whether that is a common problem anyway, or due to Eneloop use (slightly longer than alkaline AAs?) or a heavy-handed user, I don't know.
New compartment for free from Alpkit by return post (full marks).