taken up with something—
1. busy or fully occupied with smth.:
- She discouraged Hughie from following her, saying vaguely that she would be taken up with the film festival.
2. finding smth. such as a thought, idea, etc. interesting or attractive:
- In the Russian revolution, the Mensheviks were totally taken up with the idea that the capitalist class should be involved.
taken with something—
1. = taken up with something 2:
- He is especially taken with the idea of the North as a place of repose, a place to gather thoughts.
2. seized with smth. such as dizziness, a fit of sneezing, etc.:
- Mrs. Boffin was then taken with a laughing fit of clapping her hands, and clapping her knees.