Narcosis is an interesting phenomenon and probably more ubiquitous than people think. Theoretically, it is possible to be 'narced' while diving below 60fsw though symptoms seldom manifest (probability is extremely remote) or become noticeable until proceeding to deeper depths. Instead of being afraid, ask the instructor questions about the mechanism of narcosis and how to manage those risks. Frankly, narcosis is something every diver should be aware of and, most certainly, educated on how to manage. The article at Nitrogen narcosis - Wikipedia, the free encyclopedia is an easy read and provides some good information.
I've found that taking your time, thinking through tasks on the surface, and performing safety drills at depth help me to manage/minimize narcosis.
EDIT: This has been debated for quite sometime (don't want to start one in this thread) but there is no correlation between the probability (or severity) of narcosis and enriched air. While it is true that reducing nitrogen probably reduces 'nitrogen' narcosis, the increased % of 02 may offset the reduced nitrogen in contributing to overall (oxygen) narcosis.
I've found that taking your time, thinking through tasks on the surface, and performing safety drills at depth help me to manage/minimize narcosis.
EDIT: This has been debated for quite sometime (don't want to start one in this thread) but there is no correlation between the probability (or severity) of narcosis and enriched air. While it is true that reducing nitrogen probably reduces 'nitrogen' narcosis, the increased % of 02 may offset the reduced nitrogen in contributing to overall (oxygen) narcosis.