No,Scaling doesn't wear off the enamel.It just removes the stains and deposits on your teeth. Usually,scaling is recommended once a year.But,if a person posess some habits such as smoking,tobacco/pan chewing,etc or have bad oral hygeine then it should be maintained at once every 8 months.
Next Steps
To prevent deposition of plaque,calculus and stains,brush twice a day i.e, morning and night with soft tooth brush in a circular motion.
Health Tips
Do visit a Dentist for better explanation.Hope this was helpful.