What does "grow on" mean?

Also, grow upon.

Gradually become more evident. For example, A feeling of distrust grew upon him as he learned more about the way the account was handled. [c. 1600]
Gradually become more pleasurable or acceptable to, as in This music is beginning to grow on me. Jane Austen had it in Pride and Prejudice (1796): “Miss Bennet's pleasing manners grew on the good-will of Mrs. Hurst.” [c. 1700]

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