It will not. Fiendish Chain can only target face-up monsters. by the time it resolves, its target is no longer legal
"With each kill, I grow wiser; with added wisdom, I grow stronger..."-Artemis Entreri
Read the rulebook. Read the rulings. Read the sticky "Rulings FAQ: PLEASE READ BEFORE POSTING!" Use the search function. If you ask a question without doing so, you are an idiot and will be treated as such.