The phrase "important in work" is correct and can be used in written English
It's generally used to refer to things that are essential for getting work done. For example, "Having a good work ethic is important in work."
This creates an inside club, especially important in work where secrecy matters.
"It potentially addresses the conflicts between the biological clock and the clockwork of women's careers: The time that's most important in work, for getting your career established, often coincides with normal fertility time for women.
Among the advantages of such techniques are the high degree of personal involvement they encourage, the "realism" of the problems dealt with, a reduction in the didactic element (especially important in work with senior staff), and the opportunities for questions of theory and principle to arise in the discussion of actual teaching and administrative incidents.
Traditional geological mapping is also important in work such as Wallace's tracking of ash flows in remote areas of Alaska.
This information may be important in work to find replacement of fish meal in a sustainable growing global aquaculture industry and in work to prevent vertebrae disorders in farmed fish.
In the interim, work conscience is another factor that is important in work discipline and generates sense of duty in the individual.
"That's important in working with clients".
Food is important in working out a character.
"We're paranoid and neurotic," Robert S. Kapito, BlackRock's president and a co-founder, told The Times "That's important in working with clients".
She was very important in working on the flow of the novels.
Some circumstances, however, could make it more plausible that income inequality is more important in working age.
