This came up twice yesterday. Grand Possession from Perils of the Warp states (all paraphrased of course): a Greater Demon attempts to possess the psyker (see Possession Trait).
Fair enough, so we go there (pg 142) and find this under Effects of Possession: victim increases Str and T by 10 and uses possessing entity's Int, Per, Wp, and Psy Rating. Replace the possessed creature's Skills and Talents with the possessing entity's. The entity may attempt to recall memories and Skills from its victim with a successful Int test. Good chance of becoming immediately mutated and developing more mutations the longer the possession continues.
First question is this: what is the down side to being possessed by a Greater Demon? Look at Lord of Change! He is a win button when possessing a marine! So is a Great Unclean One…even Phokulozortis is pretty freaking awesome. Again what is the downside? Why would anyone want to not be possessed by a greater demon? Sure you develop mutations, but that's a pretty small cost for Tzeentch aligned characters since change and mutation is their calling card.
Second question: how long is this supposed to last?