Keep up/move with the times
Definition 1 of 1
Pro Tip 1/3Cultural Relevance
This phrase often ties to current cultural or technological advancements that society is embracing. 
I started using social media to keep up with the times and connect better with my grandchildren.
Pro Tip 2/3Not Always Positive
Sometimes suggests pressure to change even if one prefers traditional ways. 
My uncle doesn't like smartphones but feels he has to move with the times.
Pro Tip 3/3Generational Differences
Often highlights a gap between older and younger generations' habits or beliefs. 
Grandma is learning to text to keep up with the times and stay in touch.