"Suspenseful moments" refers to situations or events that make us feel anxious or interested because the outcome is uncertain or unknown. Full definition
In a particularly suspenseful moment in the hearing, Mr. Brudz made seemingly cavalier references to large company «with two consecutive vowels in its name.» (businessoflawblog.com)
Alien Breed and Dead Nation create suspenseful moments only to wreck them with linear game design. (n4g.com)
That being said, it's not a boring film, as there are many suspenseful moments where you're convinced someone is going to be harmed (I won't reveal how often you turn out to be right). (thecriticalcritics.com)