grow on

grow (up)on (one)

1. To become more liked and appreciated by one. ("Upon" is more formal than "on.") I didn't like her bubbly new assistant at first, but she grew on me in time. The novel was very tedious at the beginning, but it has grown upon me the more that I've read of it.
2. Of a feeling or emotion, to become more intense within one by gradual degrees. ("Upon" is more formal than "on.") Unease grew upon me as we walked into the creepy old house. The anger and indignation of the rejection grew on me as I drove home.
See also: grow
Farlex Dictionary of Idioms.

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.
See also: grow, on
McGraw-Hill Dictionary of American Idioms and Phrasal Verbs.

grow on

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]
See also: grow, on
The American Heritage® Dictionary of Idioms by Christine Ammer.

grow on

or grow upon
v.
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.
See also: grow, on
The American Heritage® Dictionary of Phrasal Verbs.
See also:
  • grew
  • grow (up)on (one)
  • grown
  • get out of this taco stand
  • bust out of this popsicle stand
  • get out of this popsicle stand
  • rigmarole
  • go on and on
  • hold mouth the right way
  • fizzle out