Adaptability and flexibility are often termed as agility. While the term agile comes from the project management method for software development, it has come to describe and characterize an openness and the ability to shift gears as a person faces change in the workplace.
An adaptable and flexible mindset, i.e. possessing the mindset to adapt to an agile environment, means exhibiting respect, collaboration, learning, ownership, and always with a focus on adding value. For an organisation this would mean adapting quickly to market forces in efforts to remain competitive.
The ability to be agile includes dividing larger projects into shorter phases of work with a continuous feedback and assessment loop, adjusting the plan and adapting to changes as required. It is a much more responsive way of working.