How Not to be Dated?

So I have this idea for a story about a screenwriter who has to deal with Executive Meddling with their latest project. For instance, the studio wants to make this movie a vehicle for a child star. As such, the script has to be rewritten so that their character has more screen time and the content has to be toned down. My worry with this kind of story is that it could become dated if I reference trends in pop culture and entertainment. Granted, Executive Meddling will always be a thing, I worry that some of the more specific trends might become dated after a while. Thoughts?

I'd argue there is no such thing as a "timeless" story that exists completely independently of the time it was written in the first place - so there's really no reason why you shouldn't just set this in 2018/9 instead of some generic "present" to begin with.

For as long as references to anything that actually exists, anything that can become dated, are kept subtle, you should be fine. Specific things may become dated, but a lot of trends that those references are examples of are cyclical and not just a one-time thing.

Take disco music, for example. It's supposed to be this thing that happened once and then disappeared into obscurity once and for all, and yet time and again it appears for some time, only to then disappear for some time and then come back and so on and so on; so, if you want to put disco music in, that's fine and does not necessarily have to get dated for as long as it's just music and not an overt reference to something that was an example of it.

Why worry about that in the first place? Do you think that it will become dated before you finish writing it?

Unless you are in The Silmarillion-level Development Hell situation, that will not happen. As Kazeto said, if it exists, then it will stay in the collective memory. Though you have to mind the current popularity of the things you're referencing: if it's relatively obscure, don't expect it to persist through time.

You should also mind what your target audience is. If the content of your story is specifically for teenagers, then it will become dated pretty quickly, as this age group is generally preoccupied with the contemporary media ignoring what came before. Though judging by your descriptions, the story is at least for young adults.