Of course we can't use a clause after like
if it is a preposition as all others.
However, if like
is a conjunction, a clause can come after.
Click this link for examples from the Cambridge Dictionary Online. http:
And one more example from Merriam- Webster:
2: in the same way that : AS (they raven down scenery like children do sweetmeats — John Keats)
3 a : in the way or manner that (the violin sounds like an old masterpiece should) (did it like you told me)
Hope this help, Izzy.