From Longman Dictionary of Contemporary Englishtake up phrasal verb1take something ↔ upSTART DOING something to become interested in a new activity and to spend time doing itRoger took painting up for a while, but soon lost interest.2take something upSTART DOING something to start a new job or have a new responsibilityPeter will take up the management of the finance department.take up a post/a position/duties etcThe headteacher takes up her duties in August.3take something ↔ upDO if you take up a suggestion, problem, complaint etc, you start to do something about itNow the papers have taken up the story.take something ↔ up withThe hospital manager has promised to take the matter up with the member of staff involved.I am still very angry and will be taking it up with the authorities.4take up somethingLAST FOR A PERIOD OF TIME to fill a particular amount of time or spacebe taken up with somethingThe little time I had outside of school was taken up with work.take up space/roomold books that were taking up space in the office5take something ↔ up to accept a suggestion, offer, or ideaRob took up the invitation to visit.take up the challenge/gauntletRick took up the challenge and cycled the 250-mile route alone.6take up somethingMOVE/CHANGE POSITION to move to the exact place where you should be, so that you are ready to do somethingThe runners are taking up their positions on the starting line.7DC take something ↔ up to make a piece of clothing shorter opp let down8take something ↔ upCONTINUE/START AGAIN to continue a story or activity that you or someone else had begun, after a short breakI’ll take up the story where you left off. →take→ See Verb table
take-upˈtake-up noun [uncountable] British EnglishBBTthe rate at which people accept something that is offered to themTake-up for college places has been slow.
Examples from the Corpus
take-up• This was not mentioned and highlights the intricacies of benefittake-up.• To date, however, take-up has been disappointing.• This increasedtake-up is a result of the in-servicetrainingprogrammeaimed directly at teachers.• He is also concerned about the lowtake-up of conducting case conferences by telephone.• Nowhere was this clearer than in moralists' take-up of scientificlogic and a language of rationality.• Assuming a proportionally similartake-up on university validated courses, there were about 8,500 students on all Dip.HE courses.• Up to £2 million has been budgeted for the special needs grant but the amount spent will depend on the take-up.• The take-up has been disappointing in some respects, with the most highly motivated members attending several courses.From Longman Business Dictionarytake something → up phrasal verb [transitive]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→ See Verb tabletake-upˈtake-up noun [uncountable]MARKETINGthe rate at which people buy or accept something offered by a company, government etcThe bank has not announced targets but it will need high take-up rates to justify its investment.