Shaykh Abdul Azeez ibn Baaz rahimahullaah in his Majmoo` Fataawaa vol. 12 pg. 415:
Q: What is the ruling of reading Sooratul Kahf on the night of Friday and during it’s daytime?
A: There are narrations regarding reading Sooratul Kahf on Friday containing some weakness in them, however some the people of knowledge have mentioned that these narrations support each other, and are fit to be used as evidence.
Also it has been established from Abu Sa`eed al Khudree radiyallaahu `anhu that he would do such.
Therefore doing so is something good; following the example of that noble companion radiyallaahu `anhu (Abu Sa`eed al-Khudree), and acting in accordance to the narrations indicated, as they support one another and are helped by the aforementioned companion’s action.
As for reading it on the night of Friday then I do not know of a proof for that, thus making clear that such an act is not prescribed.
And Allaah is the Granter of Success.