For me, the problem with CT psionics was that - for something which was probably meant to model The Force and similiar powers - it seemed very limited. Plus, if you played the RAW, very few PCs would ever have psionics. Even those few who did get lucky and actually generate powers likely wouldn't get the ones they wanted. 

During my time running CT (back in college), I only ever had one player actually want to play a psionic (due to the verbiage in the Starter Traveller rules booklet about witch hunts). Mind you, this was back before CT Alien Module 4 appeared. I decided to let him generate a Zhodani spy using the Other career charts but letting him spend one (1) roll per term on the psionic powers generation list. He was okay with this and managed to roll both telepathy and teleportation. Of course, his PC was also the youngest and least-skilled of the characters, which makes no sense for a professional spy. So we decided that the PC was the *son*of professional spies, roped into the service in his teens and thus not really enthusiastic about it.