The surgeon told me to keep putting tape over my incision. Local anesthesia, dissolvable stitches. 2wks post op. Is this right?

I
always put small white surgical tapes over the incision, called steri-strips,
and even change them at 2 weeks, leaving them on another week or two.The tapes help to reinforce the incision
while it’s healing, and I think it leads to better scar formation than if you
didn’t use them.

Many times surgeons will use steri-strips or another method of taping an incisioni as it heals.  I see no reason for you to doubt your surgeon's advice. 

Many surgeons tape incisions for varying lengths of time. Your surgeons advice is not out of the norm.All the best. 

Taping of the incisions for more than 2 weeks after surgery is not uncommon.  If applied correctly, the tape can help take some of the tension off the scar and help the healing.  I often have my patient use tape for 4-6 weeks after surgery and then start applying a silicone based scar product to assist with the maturing process of the scar.Most importantly, follow your surgeon's directions.  He/she knows you best.