The site is pretty confusing thought, I don't think I could have found it myself. Now I know the link exists I can find it, but I think putting it behind a dropdown on a box labeled "Summary", and labeling it "Popular Chemistry" isn't great for having people find it.
Imagine lego, but with chemistry.
Side note, "click chemistry" is kind of a marketing term in that it describes a process for modular assembly of moieties in one step in "biocompatible" conditions i.e. water without much poison in it, but which doesn't actually describe how to do that.
The first realization of this vision (or at least the first previously discovered system described as click chem) was copper catalyzed azide-alkyne cycloaddition, and for quite a while this was the only "click" reaction.
Omitting for brevity all the things that were attempted and reasons for doing so as they've been elaborated elsewhere in sibling threads, it was basically impossible to get anything working on/in actual living cells (or "embalmed" cells) although the "click" reaction worked fine in isolation. The parameter space here is pretty big; pharmacology of the things, copper concentration, temperature, time, doing all kinds of things to the cells, and we never figured it out, so it's tricky to find a root cause. One failure mode seemed to be that the copper catalyst caused protein aggregation and the labels being added stuck to the aggregates better than they stuck to the "click handle" alkyne, and there were other failure modes more related to pure pharmacology that probably also contributed (e.g. when the drug sticks to the target it does so in a position that blocks the alkyne "click handle" from being accessible). It was also impossible to reproduce a lot of high profile click labeling papers.
That point now seems like the trough of the hype cycle, so to speak. Apparently Bertozzi's subsequent work with strain promoted cycloadditions (= no protein-aggregating copper) is much more useful.
I'm guessing other people with negative commentary got burned by the early promises of click chem in the real world -- Also, that Sharpless got it for an abstract "product vision" (the award is because "he coined the concept of click chemistry, which is a form of simple and reliable chemistry"), Meldal got it for the CuAAC reaction which actually sucks for biology, and Bertozzi's work doesn't stand on its own.