I think you are probably thinking of EMDR (Eye Movement Desensitization and Reprogramming), which is a completely different thing from NLP. NLP also has stuff to say about eye movements, but it the claims are quite different. EMDR is primarily a treatment for traumatic stress disorder (and perhaps some other, related psychopathologies). Its practitioners (most of them, anyway - there may be a few loons) do not make anything like the sort of wide ranging claims that are made for NLP.
Contrary to your apparent claim, many clinical (and experimental) trials have shown that EMDR does work, at least to a degree. (I am not saying that it is necessarily the most effective form of treatment for PTSD, but it does have a positive effect, and seemingly more of a positive effect than several other types of treatment that have been tried):
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[li]Carlson, J., Chemtob, C., Rusnak, K., Hedlund, N., & Muraoka, M. (1998). Eye Movement Desensitization and Reprocessing (EMDR) Treatment for Combat-Related Posttraumatic Stress Disorder. Journal of Traumatic Stress (11 #1) 3-24.[/li][li]Van Etten, M. & Taylor, S. (1998). Comparative Efficacy of Treatments for Post-traumatic Stress Disorder: A Meta-Analysis. Clinical Psychology and Psychotherapy (5) 126-144.[/li][li]Shepherd, J., Stein, K., & Milne, R. (2000). Eye Movement Desensitization and Reprocessing in the Treatment of Post-Traumatic Stress Disorder: A Review of an Emerging Therapy. Psychological Medicine (30 #4) 863-871.[/li][li]Power, K., McGoldrick, T., Brown, K., Buchanan, R., Sharp, D., Swanson, V., & Karatzias, A. (2002). A Controlled Comparison of Eye Movement Desensitization and Reprocessing Versus Exposure Plus Cognitive Restructuring Versus Waiting List in the Treatment of Post-Traumatic Stress Disorder. Clinical Psychology and Psychotherapy (9 #5) 299-318.[/li][li]APA (2006). American Psychiatric Association Practice Guidelines for the Treatment of Psychiatric Disorders: Compendium 2006. Arlington, VA: American Psychiatric Association.[/li][li]Bisson, J.I., Ehlers, A., Matthews, R., Pilling, S., Richards, D., & Turner, S. (2007). Psychological Treatments for Chronic Post-traumatic Stress Disorder: Systematic Review and Meta-Analysis. British Journal of Psychiatry (190) 97-104.[/li][li]Rodenburg, R., Benjamin, A., de Roos, C., Meijer, A.M., & Stams, G.J. (2009). Efficacy of EMDR in Children: A Meta-Analysis. Clinical Psychology Review (29) 599-606.[/li][li]Kemp, M., Drummond, P., & McDermott, B. (2010). A Wait-List Controlled Pilot Study of Eye Movement Desensitization and Reprocessing (EMDR) for Children with Post-traumatic Stress Disorder (PTSD) Symptoms from Motor Vehicle Accidents. Clinical Child Psychology and Psychiatry (15 #1) 5-25.[/li][/ul]
This citation list could be considerably extended. There are a handful of studies that find little or no evidence for the technique’s positive effect, or that it has less effect than certain other treatments to which it is being compared, but the weight of the evidence seems to be quite strongly in its favor.
By contrast, the NLP claim (which, I think, is quite an important aspect of NLP) that the direction of a persons’ gaze is indicative of the sensory modality of their mental imagery (i.e., whether their thoughts are visual, auditory, kinaesthetic, or whatever) has not stood up to experimental test, and is not consistent with what is otherwise known about gaze direction during mental imagery.
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[li]Elich M. Thompson R.W. & Miller L. (1985). Mental imagery as revealed by eye movements and spoken predicates: A test of neurolinguistic programming. Journal of Counseling Psychology, 32(4), 622-625.[/li][li]Laeng, B. & Teodorescu, D.-S. (2002). Eye Scanpaths During Visual Imagery Reenact those of Perception of the Same Visual Scene. Cognitive Science (26) 207-231.[/li][li]Johansson, R., Holšánová, J., & Holmqvist, K. (2006). Pictures and Spoken Descriptions Elicit Similar Eye Movements During Mental Imagery, Both in Light and in Complete Darkness. Cognitive Science (30) 1053-1079.[/li][li]Johansson, R., Holšánová, J., Dewhurst, R. & Holmqvist, K. (2012). Eye Movements During Pictorial Recall Have a Functional Role, but They Are Not Reinstatements of Those from Encoding. Journal of Experimental Psychology: Human Perception and Performance (38 #5) 1289-1314.[/li][/ul]
In short, NLP is probably hokum, EMDR (“the eye-desensitization thing”) probably isn’t.