"where things lie still" is not a sentence

yes i believe so. the word "lie" in your sentence act as a noun meaning to be positioned or situated somewhere (same as lay).

"Where things lie still." is a sentence and is correct. The subject is implied: "Where is it? (It is) Where things lie still." There is a difference between "lie" and "lay". "Lie" means that someone or something is situated somewhere. "Lay" means that something is begin put somewhere. "The cat lies on the sofa." "He lay the cat on the sofa." The difference is that "lie" doesn't take a direct object ("ON the sofa"). "Lay" does take a direct object ("the cat"). So grammatically, Eric Clapton's "Lay Down Sally" is incorrect. It should be "Lie Down Sally." Musically, however, it's incredible and should remain exactly as it is. This is why you never heard of an English teacher with a gold record.

"Difficult times lie ahead" is correct. "Lie" is a verb in the sentence, not a noun, but the meaning provided by romulus is correct. "Where things lie still" is also correct. Also, your question should have been "Is this sentence correct?" rather than "This sentence is right?".