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The phrase "a tradeoff between" is correct and could be used in written English.
You could use it to talk about a situation in which two things have to be weighed against each other in order to decide which one will be chosen. For example, "She had to make a tradeoff between her personal beliefs and her professional obligations."
Exact(60)
As recently as a year ago he thought there was a tradeoff between these two goals.
Clearly, there's a tradeoff between quantity and quality.
Information density is a tradeoff between clutter and void.
Interpolation always involves a tradeoff between ringing and smoothing.
There's typically a tradeoff between risk, reward, and credibility.
Obviously, there is a tradeoff between cost and accuracy.
Thus, managers face a tradeoff between rents and agency costs.
So there wasn't a tradeoff between risk and return: stocks were just a better investment, period.
Hence, there is a tradeoff between the two opposing effects.
There will always be a tradeoff between mobility and call quality".
"There is a tradeoff between integration and speed," Mr. Eustace said.
More suggestions(18)
a sharing between
a linkage between
a shift between
a change between
a balancing between
a correlation between
a compromise between
a nexus between
a swap between
a interplay between
a interrelation between
a compensation between
a bargain between
a choice between
a chair between
a sympathy between
a lot between
a bond between
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com