Virtually everyone was sceptical of the guy claiming to have developed a form of propulsion powered more or less only by light, but then NASA tested the "EmDrive" and sure enough, it seems like the fundamental idea works. (http://www.nasaspaceflight.com/2015/04/evaluating-nasas-futu...)
With rampant forging of data and results, you better be skeptical of peer-reviewed results too. Reproducibility is an important, oft-overlooked, and under-appreciated part of science.
For example, problems with methodology and sampling, overlooked prior research, bad analysis of results, straight-up non-sequiturs and conclusions drawn from insufficient data.
All of these mean peer review is valuable without reproducing results.
For an extreme example: if somebody publishes a "Cheese found on moon" paper, do you expect the reviewer to mount an expedition to the moon to check?
For the 'Cheese found on moon' paper, I would expect the reviewer to clearly state that the results could not be replicated before mentioning anything else. Let readers draw informed conclusions based on a complete picture of the result, including whether or not it was a one-off.
If you have not done few physics labs, it's easy to underestimate the measurement problems and the level of noise in experiments.
Most of the Physics community thinks that this is an experimental error. One symptom is that at lunch in a Physics department nobody talks about this. If this were real it would be a groundbreaking result because it breaks some of the most fundamental Physics laws.
We shall see I guess, but it has been replicated in 3 places now taht I'm aware of, two of which are serious science outfits.
In a "massless" thruster, the theoretical maximum Thrust/Power ratio is 1/c = 0.0033 mN/KW if you don't want to break the conservation of momentum, special relativity or quantum mechanics. You could get this value with an ideal perfectly efficient laser beam. The latest NASA version proclaims (50 uN / 50 W) = 1 mN/KW that is 300x the theoretical maximum, so if it's not an experimental error, it must be breaking some of the currently supposed physic laws.
Even after a few years, I learned there is always in-fighting when a major discovery like this is made. Regardless of where these bones should be classified, it's an incredible find no matter what - which is sometimes lost in the ensuing fray of dissenting opinions.