The Chernobyl lights are next to the reactors containment structure.

So one can now go inside Chernobyl again? That's scary!

Hopefully they'll be able to clean up the area and remove all the structures not related to the containment and maybe let the environment reclaim the area and heal.  Tear down all the structures and return it to bare land and plant trees and what not.   Quickest way to heal the environment.  Gotta be careful with all the radioactive dust and what not that would be kicked up though. 

Cleaning up that area is easier said than done.Where are you going to put the radioactive rubble from the buildings?The radioactive fuel in the reactors?And who is going to do that dangerous work?and how much would that cost?The equipment used in the demolition will be contaminated,too-how to dispose of it?So--best to leave well enough alone.Just keep the area abandoned and off limits.

At present the area is more like a wildlife refuge. Ihe impact seems to be not that severe, yet the fact it is abandoned by people made the area  very welcome for the wilds.

Regarding the cleanup:
Removing the mess from within the damaged structures and those structures alone would be the easiest part. Because all the thing is well concentrated on rather small space, so not that difficult to manage. The technology for that is here, don't forget now there is not such time pressure as it were there just when the accident happened, ability to prepare the project make it way easier to do. Plus this part is rather well contained, so not dangerous to the surrounding anymore.
But the biggest problem is the material spread over the open land around. It is way larger amount of contaminated material, with no control over it.

The strategy now is to keep it as natural reserve (even when that sounds really absurd given what happened there), off limits to public. It is assumed the contamination is sitting at places where it has no te dency to spreading, so any upsetting (e.g. logging,...) may cause it to spread further without any control. And that woul be another disaster...