take something → up phrasal verbphr v [transitiveT]1to start a new job or have a new responsibilityHe is leaving to take up a position in the private sector.
2to do something about an idea or suggestion that you have been consideringI’m going to take this matter up with my lawyer.
3to use a particular amount of space or timeComputer equipment takes up about a quarter of the office space.
This problem is taking up too much of my time.
→ take