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grow on someone
1. Lit. [for a fungus, tumor, parasite, etc.] to live and grow on someone's skin. I've got this stuff growing on me and I want to get rid of it. Is that an ink stain or is something growing on you?
2. Fig. [for something] to become familiar to and desired by someone; [for something] to become habitual for someone. This kind of music grows onyou after awhile. Kenneth sort of grows on you after a while.
Also, grow upon.
1. 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]
2. 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]
grow onor grow upon
1. To be nourished by something and develop in size or quality: Wheat does not grow on sandy soil. Baby mice grow on only a few drops of milk every hour.
2. To become gradually more evident to someone: A feeling of distrust grew on me.
3. To become gradually more pleasurable or acceptable to someone: Just wait; the bitter taste will grow on you.