"increasingly changing" is correct and usable in written English.
You can use it to talk about an event that is changing more and more as time goes on. For example, "The climate is increasingly changing, with the temperature rising faster than ever before."
(Federal land-management agencies are increasingly changing that default rule, and those changes need to be supported). Policy proposals that are based on stopping or ending fire are fundamentally flawed, and will fail.
Even so, few of us are going to give up our landlines completely, though that is increasingly changing.
From video nasties to the Falklands, rising consumerism to Aids, the historian delves into an increasingly changing nation.
Times are increasingly changing in the Midlands, regardless of how well Northampton can bounce back in the next fortnight.
This is increasingly changing as machine-learning techniques are applied to parsing language (see "AI's Language Problem").
ICTs are increasingly changing the landscape of libraries and challenging the traditional prevailing roles of LIS professionals.
On the cosmetics front, PETA has been increasingly successful changing attitudes in China about the use of animals in testing for beauty products.
"We must stay ahead of rapidly evolving pests — and increasingly, a changing climate — to assure global food security," said Mr. Zeigler, the rice institute's director.
Customers demand more utility and more speed, and Argos gives us the ability to serve customers in an increasingly rapidly changing world," Coupe said.
Having apparently found solace in Newcastle's increasingly Francophone changing room and adopted a more serious approach to both his training and his defensive responsibilities, he may finally be plotting a path to maturity.
But I think — and I'm not alone — that we should have a national conversation about how we're going to deal with an increasingly rapidly changing environment, and the tools of economic analysis should be part of that conversation.
