In your example, I am assuming “like” is being used for emphasis. It isn’t correct, and is usually use in common verbal speech as meaningless “filler word” or to draw attention to something.
So, one might say, “that whole is deep, like really deep”. The word like is unnecessary and doesn’t really add anything. It is more used as emphasis or to suggest that the whole is deeper than what you might think.
And as previously mentioned, deep can mean literally depth, or commonly as a slang expression with strong emotional feelings. “This song deep, like really deep.” (Suggesting that it is a very emotional, and/or, thoughtful/wise song).