Cyclegender is a term with two current definitions. First, is when one's partner(s)/crush(es) has a sexuality that involves an attraction cycle, changing orientation, or changing preferences, such as bisexual, omnisexual, or abrosexual, and one's gender changes to the gender they are currently most attracted to at the time. This can change because of one specific individual, or multiple individuals.
The second definition is when one has a set schedule/cycle of when one is certain genders. For example, one could be a man on Mondays and a woman on Tuesdays, etc. One could also just be a certain gender for a certain amount of time, then switch when that time is over. It in similar to lunagender.
History
Cyclegender was coined by Discord user "ratler but gay" (TransRat on FANDOM).