"its associations" is a correct and usable part of a sentence in written English.
For example: The school's colors carry strong associations for its students and alumni.
It may be linked to atherogenesis through its associations with glutamate receptor complexes and also the actin cytoskeleton.
It might be said that Pentridge, for all its associations with criminals and criminality, is best forgotten.
The problem, as I see it, is to do with the word poverty and its associations.
Apart from anything else, Jacques told me, it was finished off by the leaden weight of its associations with communism.
And though it hasn't been a serious diagnosis for decades, its associations are harder to shake.
Its associations were equally tawdry.
But the fate of the Doty House is much more in question, even with its associations.
Most politicians would have incinerated the garment years ago, hoping to rid themselves of its associations.
The far right in Britain has adapted to minimise its associations with nazism.
From now on, he will dread his birthday and its associations.
Why choose the metaphor of divorce, with all its associations of bitterness, recrimination and pain?
