I should mention I'm thinking more about a DB contract type assassination, that generally involves going in public places. If sneaking around in some Draugr dungeon obviously armor makes more sense.
Depending on how you play, you can get through 100% of the game in clothing as an assassin, but you would have to play it strictly by the shadows almost all the time and you would need to be able to take out any target (minus a dragon) in one hit to increase your survivability chances.
A more aggressive assassin, which is me, I wear guildmaster armor, guildmaster boots, stormcloak officer bracers, and a circlet. I have a variety of light armors that range from 230-290 armor rating, and I don't see the point of needing more armor rating than that.