In my last game, against Hastur, Joe collected 7 clue tokens then got sucked through a gate to R'lyeh and delayed. No sooner had he got to the second area of R'lyeh than he was LiTaS. So he returned to Arkham and collected the eighth clue token needed to seal a location. He went through a gate to Celeano and managed to get an encounter that required him to stay in the first area on the next turn. He finally got to the second area of Celeano, only to be.... you guessed it... LiTaS.
This game can be evil sometimes.