"increasingly huge" is correct and usable in written English.
You can use it to describe something that is becoming bigger or larger over time. For example, "The amount of trash in the ocean is increasingly huge, making it a major problem for marine life."
The "to go" market is increasingly huge.
Of course Facebook benefits from increasingly huge network effects.
New technologies for studying the brain generate increasingly huge amounts of data.
But critics have worried that Groupon is doling out increasingly huge sums to attract new customers.
Food has long been relatively cheap, and portions were increasingly huge.
The result of the shift was increasingly huge gap between Democrats and Republicans over whether the threat of climate change.
During the 1990s, as economic growth surged and air pollution spurred the need for clean energy, they turned increasingly to huge mega-dams.
Boeing executives have said for years that there is only a tiny market for superjumbo jets, because passengers are increasingly avoiding huge central "hubs" of air transport in favor of direct flights to smaller cities and smaller planes.
Information dragnets increasingly yield huge quantities of individual-level data, which are analyzed to sort and slot people into categories oftaste, riskiness or worth.
No, what Americans love in a truck is a V-8 gasoline engine and, increasingly, a huge sport utility vehicle-like cabin, so that there's as much room for people as payload.
In 2003, there you know, Bill Gates came out and said, he's going to solve spam and there's a ton – it was increasingly a huge problem that the industry has gotten more of their arms around.
