Back when I played Vampire the Masquerade there was a similar power to compel the truth. One player just talked around the question.
"Let me tell you a story" and then proceeds to tell a story that seems like it is answering the question but is in fact a complete fabrication. He would also give partial but truthful answers. "I heard about that diamond but WHEN I heard about it I said only a fool would try to steal it."
He would even prepare for that stuff by randomly saying innocent sounding phrases he could later reference. Once we were in the middle of a murder spree (vampire can get very dark) and he proclaimed "This DJ is playing awesome dance music. We stayed at this club all night." Then later he would reference it. "Look, I said before we stayed at this club all night because I said the DJ was playing awesome music.
Also the previous advice on talking your way around the questioner is useful. Attack them with questions. "Do you have any secrets you do not wish anyone here to know?" "Did you steal the diamond?" "How often do you make treasonous statements?" "Are you still carrying on an affair with the queen?" "Are you still worshipping demons?"