The phrase "grown smaller" is correct and usable in written English. You can use it when talking about something that has become physically smaller over time, or that has decreased in size or scope. For example, "My shirt was once too large, but it has grown smaller after several washes.".
The screens have just grown smaller, and multiplied.
The gatherings used to bring together thousands of people, but they have grown smaller over time.
AS the world has grown smaller, Americans have acquired tastes that were once foreign.
Interestingly, players have grown smaller over the past few years, in response to rule changes favoring speed and skill.
They emerge as evidence of the world grown small, proof of art as connection.
He grew smaller and smaller.
It grows smaller, smaller, smaller.
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