The phrase "a growing rivalry" is correct and usable in written English.
It can be used to describe an increasing level of competition or conflict between two parties, such as individuals, teams, or organizations.
Example: "The two tech companies have developed a growing rivalry as they compete for market dominance."
Alternatives: "an escalating rivalry" or "an intensifying rivalry".
A closer look, however, reveals a growing rivalry among its members.
The conference-topping NYC FC travel to Harrison for the latest instalment of a growing rivalry.
But another part in volves a growing rivalry over the distribution of Federal aid for urban problems.
At Sunday's morning shootarounds, it was clear that the incident at midcourt, intentional or not, had kicked up a lot of dust around a growing rivalry.
The two teams are very likely to contend for the Eastern Conference title, which New York won last season, and have developed a growing rivalry.
The reduced rates are the biggest changes since the settlement was announced last spring, and they point to a growing rivalry between the card networks, analysts said.
To an extent, the feistiness of the game was an indicator of the growing rivalry, previously nonexistent, between these two teams.
A significant development was the growing rivalry between Caracalla and his younger brother Geta, a rivalry that was aggravated when Severus died during a campaign in Britain (211), and Caracalla, nearing his 23rd birthday, passed from the second to the first position in the empire.
It hosts China's only military base on the Indian Ocean, and so plays a crucial part in the growing rivalry between Asia's two rising powers.
Asked in an e-mail what he thought about the growing rivalry between Caltech and MIT, Baltimore responded only with a smiley face: ":)".
The growing rivalry is likely to see a new boom in space exploration - one that will eventually lead to more collaborative missions between the emerging space-faring nations in Asia.
