@jabes.plays.rpgs - It hasn't quite been an hour, but it's getting very close. The effect will wear off in the next couple of rounds. When that happens, the cypher simply becomes inert. If it were a wearable device (eg a pair of boots), you could continue to wear it if you desired to.
However, I'll remind you that you had opted to replace the flavor of the cypher as it having a body-altering effect, which is what granted you levitation:
Jabes.plays.RPG says:
....as strange protrusions of unknown metal sprout from her back like the spiny wings and barbed tail of some great bird of prey.....
So with that context, I'd either have the wings be reabsorbed by your body or fall off. Do you have a pref?