"has been moving progressively" is correct and usable in written English.
You can use it when describing the progress of something over time, especially something that has been gradually improving. For example: The market share of this company has been moving progressively over the last few years.
There is a land grab going on between two camps: the West, which got their act together at the Budapest Council of Europe convention of 2001, and the rest, led by China and Russia, which cluster around the ITU (the International Telecommunications Union), which has been moving progressively from telephones into IT and cybersecurity.
Gambia has been moving progressively towards the establishment of an integrated and inclusive social protection system to ensure that the most deserving groups are reached with holistic and effective programmes that will allow them to overcome challenges that often supress their full potential in a changing social and economic world, while empowering the population for better resilience.
I had been moving progressively toward a pedagogical style that encouraged students to approach biology as a work in progress, one that they could best appreciate by drawing on and criticizing their own understandings as well as those of professional biologists, by engaging in biological conversation rather than learning about biology.
"The Uruguayan coast has always been very popular, and it's been moving progressively toward the north," she said.
The Democrats' response has been to move progressively towards the center, assuming the mantle of "reason" and "respectability", while presenting their rivals as irresponsible mavericks.
"The epicenter of urban living in downtown Chicago has been progressively moving south for the last 5 to 10 years," said Thomas O. Weeks, president of the LR Development Company, developer of 340 on the Park, a high-rise condominium building under construction across Randolph Street from the park.
We've been progressively moving away from more traditional approaches, such as talks and symposiums, in favour of more fun and playful experiences that support participation, social interaction and creativity.
Since the concept of tendinopathy as a defective healing process has broadened, therapeutic options have been progressively moving toward restoring natural tendon biology.
