A close call/shave
Definition 1 of 1
Pro Tip 1/3Emotional Intensity
Indicates relief after a stressful or dangerous situation; often conveys a strong emotional response. 
When I missed the falling tree by inches, it was such a close call.
Pro Tip 2/3Common Usage
Used in everyday conversation, seen in news stories about accidents or near accidents. 
After the earthquake, everyone talked about their close calls during the tremors.
Pro Tip 3/3Informal Context
Appropriate for casual situations; may not suit formal or academic writing. 
We laughed about it afterward, but it really was a close shave when we got lost hiking.