Increased salivation.
The sympathetic nervous system is activated in response to stress, anxiety, or excitement. When the sympathetic nervous system is activated, it causes the "fight-or-flight" response that helps the body prepare to respond to a potential threat.
The sympathetic nervous system causes many physical changes in the body, including pupil dilation, increased heart rate, and increased production of sweat and saliva.
Therefore, increased salivation is not a sign of sympathetic nervous system activation, and is in fact a sign of relaxation and calmness.