I had a cyst on the neck years ago and it was removed via day hospital treatment.
I was awake and it took less than half an hour to remove.
I was home 4 hours later.
Persoanlly I would have it removed as I had mine for years and when it was removed, the 'core' had inter-twined around the glands in the neck and one of the glands was removed.
I have had no ill effects since.
Usually a blood test will show if the cyst is cancerous.
Mine was but that doesnt mean to say yours is.