For those of you who know me well, know this a topic that I am able to argue for hours and hours, however, in the interest of being a good scientist I shall look at this from both sides. But overall, I feel that approaching significance is a term that should not be used in scientific works.
According to Cumming (2010)* research is considered significant if p<.05, and seen as approaching significance if p<.10, however, he also pointed out that where possible exact p-values should be reported, as it gives the reader the ability to judge the significance of a result themselves. Other sources** agree with this and advise people writing up results that p-values that are greater than .05 but less than .10 should be discussed, and are seen as approaching significant, and an effect could be present.
I can completely understand this logic. I am a relativity logical person, and what is being suggested makes sense. Researchers spend a very very long time planning research and conducting research, and then once the analysis of the data comes through and your significance level is something like p=0.057, you would be very frustrated. Your results would be telling you that chance does play a part in results you have found, however a p value between .05 and .10 would suggest that chance is only a small part of this result.
Furthermore, there could be a number of reasons affecting the significance levels of your study, and maybe if one element was different then significance would be found. For example, your sample might not be truly representative of the population, and maybe if you had chosen a more representative population then significance may have been found. But this idea then brings in the ethics of manipulating the data and then adding participants to try and find an effect.
On the other hand, the term approaching significance suggests that there is a chance that the results found might not be as due to chance as the alpha level suggests. Now this means that people may conclude that an effect might possibly be there, creating a type one error, where an effect is found/thought to be there, when it is actually not. This is a big enough issues when talking about things that are significant, without bringing in approaching significance.
So, to conclude, I feel that yes using the term approaching significance is cheating, because the research is claiming an effect may be there if further investigation is undertaken, when the stats you have been give suggests otherwise!